Infobox TV channel name NTV Variety logofile logosize logoalt logo2 launch closed date picture format share share as of share source network Next TV owner slogan country Republic of China Taiwan broadcast area Taiwan headquarters former names replaced names sister names timeshift names web http www.nexttv.com.tw index varietyshow terr serv 1 terr chan 1 sat serv 1 sat chan 1 cable serv 1 cable chan 1 sat radio serv 1 sat radio chan 1 adsl serv 1 adsl chan 1 online serv 1 online chan 1 NTV Variety zh 1 is a satellite cable channel operated by Next TV in Taiwan . External links zh icon http www.nexttv.com.tw index varietyshow NTV Variety official website Television in the Republic of China Category Television stations in Taiwan Taiwan tv stub zh ... more details
Infobox Newspaper name Marianas Variety News & Views type Daily newspaper format foundation start date 1972 owners Younis Art Studio Inc. headquarters Saipan Saipan, Northern Mariana Islands publisher Abed Younis editor Rizaldy M. Dandan price website http mVariety.com Marianas Variety is an award winning daily newspaper published in Saipan , Northern Mariana Islands , five times per week. It is owned by Younis Art Studio Inc. Marianas Variety is a member of the Associated Press , Reuters , and the Pacific Islands News Association. ref name mvarietyaboutus cite web url http mvariety.com home about us.php title About us author date work MVariety.com publisher Marianas Variety accessdate 23 April 2012 ref History Established on March 16, 1972, Marianas Variety today has a readership of 40,000 in the Northern Mariana Islands and 2,000 elsewhere in Micronesia . It currently has one sister publication, launched in the late 1990s Marianas Variety Guam edition in Guam , which has a readership of 48,000. ref name mvarietyaboutus The Variety prints an average of 28 40 pages daily with full color capability and is distributed in the CNMI, Guam, Palau, and the Federated States of Micronesia. It have subscribers in the South Pacific, the Philippines, Hawaii, Japan and the mainland U.S. Variety s Web site allows readers to submit comments as well as to see advertising rates and other specifications. Awards ref name mvarietyaboutus Best Newspaper, awarded by the Society of Professional Journalists NMI chapter in 1995 Best Editorial Writing, SPJ NMI, 1995 Best News Photography, SPJ NMI, 1995 NMI Humanities Award for Outstanding Contributions to Journalism, 2001 Best Online Edition of a Pacific Island Newspaper, 2002 Environmental Achievement Award, U.S. Environmental Protection Agency, 2003 Other services Younis Art Studio also offers printing and sign services. References reflist External ... Northern Mariana Islands fi Marianas Variety ... more details
learning raw quality Quality & Food Safety ref Nature s Variety issued a nation wide ... this batch to test positive. Reed Howlett, Nature s Variety CEO, stated, Because pet health and safety are our top priority, Nature s Variety takes every step necessary to ensure the quality and safety ... of caution, all Nature s Variety raw frozen products now will undergo a test and hold period before ... more details
multiple issues cleanup January 2009 refimprove January 2009 In linguistics , the term specialization as defined by Paul Hopper , refers to one of the five principles by which grammaticalization can be detected while it is taking place. The other four principles are Layering linguistics layering , Divergence linguistics divergence , persistence linguistics persistence , and de categorialization . Specialization Specialization refers to the narrowing of choices that characterizes an emergent grammatical construction . The lexicon lexical meaning of a grammaticalizing feature decreases in scope, so that in time the feature conveys a generalized grammatical meaning. blockquote Within a functional domain, at one stage a variety of forms with different semantics semantic nuances may be possible as grammaticalization takes place, this variety of formal choices narrows and the smaller number of forms selected assume more general grammatical meanings. Hopper 1991 22 blockquote References Lessau, Donald A. A Dictionary of Grammaticalization. Bochum Brockmeyer, 1994. Paul Hopper Hopper, Paul J. On some principles of grammaticization . In Elizabeth Closs Traugott and Bernd Heine, eds. Approaches to Grammaticalization, Vol. I. Amsterdam John Benjamins, 1991. pp. 17 36. DEFAULTSORT Specialization Linguistics Category Historical linguistics ... more details
In algebraic geometry , a toric variety or torus embedding is a normal variety containing an algebraic torus as an open dense subset , such that the group action action of the torus on itself extends to the whole variety. The toric variety of a fan Suppose that N is a finite rank free abelian group . A strongly convex rational polyhedral cone in N is a convex cone of the real vector space of N with apex at the origin, generated by a finite number of vectors of N , that contains no line through the origin. These will be called cones for short. For each cone its affine toric variety U sub sub is the spectrum of the semigroup algebra of the dual cone . A fan is a collection of cones closed under taking intersections and faces. The toric variety of a fan is given by taking the affine toric varieties of its cones and glueing them together by identifying U sub sub with an open subvariety of U sub sub whenever is a face of . Conversely, every fan of strongly convex rational cones has an associated toric variety. The fan associated with a toric variety condenses some important data about the variety. For example, a variety is smooth if every cone in its fan can be generated by a subset ... A toric variety is nonsingular if its cones of maximal dimension are generated by a basis of the lattice. This implies that every toric variety has a resolution of singularities given by another toric variety, which can be constructed by subdividing the maximal cones into cones of nonsingular toric varieties. The toric variety of a convex polytope The fan of a rational convex polytope in N consists of the cones over its proper faces. The toric variety of the polytope is the toric variety ... the toric variety of its polar set in N . The toric variety has a map to the polytope in the dual .... Math. mr 2039974 year 2003 volume 334 chapter What is a toric variety? pages 203 223 citation first ... 1973 volume 339 Citation last1 Miller first1 Ezra title What is ... a toric variety? url http www.ams.org ... more details
In mathematics , specifically geometry , an analytic variety is defined locally as the set of common zeros of finitely many analytic function s. It is analogous to the included concept of complex algebraic variety , and every complex manifold is an analytic variety. Since analytic varieties may have Mathematical singularity singular points , not all analytic varieties are complex manifolds. An analytic variety is also called a real or complex analytic Set mathematics set . See also Algebraic variety Analytic space Complex manifold Several complex variables References Citation last Chirka first Evgeni Mikha lovich title Complex analytic sets place Dordrecht Boston London publisher Kluwer Academic Publishers year 1989 series Mathematics and Its Application Soviet Series volume 46 url http books.google.com ?id 1vCaY1D9vPEC&printsec frontcover&dq Complex analytic sets PPP1,M1 doi zbl 0683.32002 isbn 0 7923 0234 6 . See chapter 1, paragraph 2 Definition and simplest properties of analytic sets. Sets of codimension 1 . Citation last Whitney first Hassler author link Hassler Whitney title Complex analytic varieties place Reading, Massachusetts Reading Menlo Park, California Menlo Park London Don Mills publisher Addison Wesley year 1972 series Addison Wesley Series in Mathematics url doi zbl 0265.32008 isbn 0 2010 8653 0 . See chapter 2, Analytic varieties . External links planetmath reference id 6696 title Analytic set . springer title Analytic set id A a012410 last Chirka first Evgeni Mikha lovich . Category Complex analysis Category Algebraic geometry geometry stub eo Analitika diversa o pt Variedade anal tica ... more details
Hermitian varieties are in a sense a generalisation of quadric s, and occur naturally in the theory of polarities . Definition Let K be a field with an involutive automorphism math theta math . Let n be an integer math geq 1 math and V be an n 1 dimensional vectorspace over K . A Hermitian variety H in PG V is a set of points of which the representing vector lines consisting of isotropic points of a non trivial Hermitian sesquilinear form on V . Representation Let math e 0,e 1, ldots,e n math be a basis of V . If a point p in the projective space has homogenous coordinates math X 0, ldots,X n math with respect to this basis, it is on the Hermitian variety if and only if math sum i,j 0 n a ij X i X j theta 0 math where math a i j a j i theta math and not all math a ij 0 math If one construct the Hermitian matrix A with math A i j a i j math , the equation can be written in a compact way math X t A X theta 0 math where math X begin bmatrix X 0 X 1 vdots X n end bmatrix . math Tangent spaces and singularity Let p be a point on the Hermitian variety H . A line L through p is by definition tangent when it is contains only one point p itself of the variety or lies completely on the variety. One can prove that these lines form a subspace, either a hyperplane of the full space. In the latter case, the point is singular. Category Algebraic varieties Algebra stub ... more details
Infobox Film name Variety Lights image Variety Lights DVD.jpg caption DVD cover director Federico Fellini br Alberto Lattuada starring Peppino De Filippo br Carla Del Poggio br Giulietta Masina producer Federico Fellini br Alberto Lattuada screenplay Federico Fellini br Alberto Lattuada br Tullio Pinelli br Ennio Flaiano story Federico Fellini cinematography Otello Martelli editing Mario Bonotti released 6 December 1950 country Italy language Italian language Italian runtime 97 minutes Variety Lights lang it Luci del variet is a 1950 Cinema of Italy Italian romance film romantic drama film produced and directed by Federico Fellini and Alberto Lattuada and starring Peppino De Filippo , Carla Del Poggio , and Giulietta Masina . The film is about a beautiful but ambitious young woman who joins a traveling troupe of third rate vaudevillians and inadvertently causes jealousy and emotional crises. ref name imdb cite web title Variety Lights publisher Internet Movie Database url http www.imdb.com title tt0042692 accessdate 21 April 2012 ref A collaboration with Alberto Lattuada in production, direction, and writing, Variety Lights launched Fellini s directorial career. Prior to this film, Fellini worked primarily as a screenwriter, most notably working on Roberto Rossellini s Rome, Open City . Plot Variety Lights is a bittersweet drama about a group of second rate theatrical performers on tour. The actors, dancers, and performers struggle to make money from town to town, playing to minimal crowds, while the ageing manager of the company falls in love with a newcomer, to the chagrin ... cite web title Full cast and crew for Variety Lights publisher Internet Movie Database url http www.imdb.com ... for Variety Lights publisher Internet Movie Database url http www.imdb.com title tt0042692 locations accessdate 21 April 2012 ref References reflist External links imdb title id 0042692 title Variety Lights Amg movie 52232 Variety Lights Fellini CinemaofItaly Category 1950 films Category Directorial ... more details
About the 1989 UK collection named after this story Second Variety 1989 collection a 1991 US volume of the same name Second Variety 1991 collection Refimprove date July 2007 Second Variety is an influential short story by Philip K. Dick first published in Space Science Fiction magazine, in May 1953. It is one of Dick s many stories in which nuclear war has rendered the Earth s surface an uninhabitable, gray ash pile, and the only things remaining are killer robots and a scattered humanity. The short story Jon s World 1954 revisited the claw infested world of Second Variety . Plot summary Second Variety occurs in the aftermath of an extensive nuclear war between the Soviet Union sometimes referred to as Russia and the United Nations. Early Soviet victories forced the North American government and production to flee to a Moon Base, leaving the majority of their troops behind. To counter the almost ... are identified I V, a wounded soldier, and III V, David. The II V the second variety remains unknown ..., critic Zack Handlen wrote, Second Variety is grim, violent, and suspenseful. There s enough ... t something you can say for much of his other work Second Variety is the most user friendly piece of his ... also remarked on the similarities between Second Variety and the Terminator franchise Terminator films ... reasons the Terminator character T 800 was created. Publication history Second Variety was first ... Volume II 1987 Second Variety 1989 collection Second Variety 1989 Second Variety 1991 collection Second Variety 1991 The Philip K. Dick Reader 1997 Best Military Science Fiction of the 20th Century 2001 ... A Canadian film, based on Second Variety , titled Screamers 1995 film Screamers , was made in 1995, featuring Peter Weller . Its screen story fairly closely follows the plot of Second Variety ... http www.sfsite.com 04a sv78.htm Review at SFsite.com Gutenberg 32032 Second Variety Librivox second variety philip k dick Second Variety Philip K. Dick Category Short stories by Philip K. Dick Category ... more details
Variety Bandbox was a United Kingdom British radio variety show transmitted by BBC Radio on the BBC Light Programme Light Programme . Featuring a mixture of comic performances and music, the show helped to launch the careers of a number of leading British performers. Variety Bandbox was first broadcast in 1941 and, presented by Philip Slessor , became a feature of Sunday evenings until the early 1950s. ref name VB http www.whirligig tv.co.uk radio vbb.htm Variety Bandbox ref Hosting duties would later be taken over by Derek Roy comedian Derek Roy . ref http www.bfi.org.uk features interviews galtonsimpson.html Ray Galton & Alan Simpson interview ref Amongst those who launched their careers on the show was Frankie Howerd , who first appeared on Variety Bandbox in 1947 following a provincial tour. ref http www.museum.tv eotvsection.php?entrycode howerdfrank Frankie Howerd ref Howerd was to become a fixture of the show and honed his catch phrase driven comedic style in these appearances. ref name VB Tony Hancock also featured on the show early in his career. ref http www.radioacademy.org hall of fame member tony hancock Tony Hancock 1924 1968 ref March 1950 saw the debut of a fortnightly series within the show called Blessem Hall which featured several characters vocied by a young Peter Sellers in one of his earliest performances, alongside Miriam Karlin . ref name VB Arthur English , who debuted on the show in 1949, also gained fame through his broadcasts and was for a time resident comedian on the show, despite his tendency to upset the producers by also including visual gag s in his act. ref http www.independent.co.uk news people obituariesarthur english 1616221.html Arthur English obituary from The Independent ref The show also provided Bill Kerr with his first break in the UK ... on the show. ref name VB Although not a performer on Variety Bandbox , Eric Sykes cut his comedy ... ref As well as comedy Variety Bandbox also featured big band music with the likes of Ted Heath bandleader ... more details
hand, whenever math pi math is free we always get an honest variety it is singular however. Examples ... variety is math mathbb C 3 math since by the Fricke Klein Vogt theorem its coordinate ring ... Shalen character variety generated by evaluations of traces , although when the math G ... and the math G math character variety is the torus math S 1 times S 1. math But the trace algebra ... that needs to be accounted for to yield the Culler Shalen character variety. The involution ... space. Connection to skein modules The coordinate ring of the character variety has been related ... module is roughly a quantum group deformation or quantization of the character variety. This also ... more details
Infobox TV channel name CTi Variety logofile logosize logoalt logo2 launch closed date picture format share share as of share source network Chung T ien Television owner slogan country Republic of China Taiwan broadcast area Taiwan headquarters former names replaced names sister names CTi Entertainment , CTi News , CTi International timeshift names web http www.ctitv.com.tw terr serv 1 terr chan 1 sat serv 1 sat chan 1 cable serv 1 CATV cable chan 1 Channel 36 sat radio serv 1 sat radio chan 1 adsl serv 1 adsl chan 1 online serv 1 online chan 1 CTi Variety zh 1 is a satellite cable channel operated by Chung T ien Television in Taiwan . External links zh icon http www.ctitv.com.tw CTi Variety official website Television in the Republic of China Category Television stations in Taiwan Category Television channels and stations established in 1999 Taiwan tv stub zh ... more details
refimprove date August 2010 Italic title Variety Obituaries is a 15 volume series with facsimile reprints of the full text of every obituary published by the entertainment trade magazine Variety magazine Variety from 1905 to 1994. Information for each deceased person can include the following Date, place and cause of death. Birthdate and birthplace. Birth names, nicknames, aliases and other names used by celebrities. Education. Military record. Film, television and stage appearances. Awards. Career narrative. The first eleven volumes were published in 1988 by Garland Publishing , which subsequently became part of Routledge . Volumes and years covered class wikitable VARIETY OBITUARIES Volume Date Range ISBN 10 ISBN 13 auto column width width 60 Volume width 125 Date Range width 125 ISBN 10 width 150 ISBN 13 align center 1 1905 1928 ISBN 0 8240 0835 9 ISBN 978 0824008352 align center 2 1929 1938 ISBN 0 8240 0836 7 ISBN 978 0824008364 align center 3 1939 1947 ISBN 0 8240 0837 5 ISBN 978 0824008376 align center 4 1948 1956 ISBN 0 8240 0838 3 ISBN 978 0824008383 align center 5 1957 1963 ISBN 0 8240 0839 1 ISBN 978 0824008390 align center 6 1964 1968 ISBN 0 8240 0840 5 ISBN 978 0824008405 align center 7 1969 1974 ISBN 0 8240 0841 3 ISBN 978 0824008413 align center 8 1975 1979 ISBN 0 8240 0842 1 ISBN 978 0824008420 align center 9 1980 1983 ISBN 0 8240 0843 X ISBN 978 0824008437 align center 10 1984 1986 ISBN 0 8240 0844 8 ISBN 978 0824008444 align center 11 1905 1986 Index ISBN 0 8240 0845 6 ISBN 978 0824008451 align center 12 1987 1988 ISBN 0 8240 0846 4 ISBN 978 0824008468 align center 13 1989 1990 ISBN 0 8240 0847 2 ISBN 978 0824008475 align center 14 1991 1992 ISBN 0 8240 0848 0 ISBN 978 0824008482 align center 15 1993 1994 ISBN 0 8240 0849 9 ISBN 978 0824008499 Indexes Volume 11 is the alphabetical index for 1905 to 1986. It contains approximately 120,000 names. There are multiple ... keywords variety obituaries&x 15&y 19 Variety Obituaries at Amazon DEFAULTSORT Variety Obituaries Category ... more details
In mathematics, a k Scorza variety is a smooth projective variety, of maximal dimension among those whose k 1 secant varieties are not the whole of projective space. Scorza varieties were introduced and classified by harvs txt last Zak authorlink Fyodor Zak year 1993 , who named them after Gaetano Scorza . The special case of 2 Scorza varieties are sometimes called Severi varieties , after Francesco Severi . Classification Zak showed that k Scorza varieties are the projective varieties of the rank 1 matrices of rank k simple Jordan algebra s. Severi varieties The Severi varieties are the non singular varieties of dimension n even in P sup N sup that can be isomorphically projected to a hyperplane and satisfy N 3 n 2. Severi showed in 1901 that the only Severi variety with n 2 is the Veronese surface in P sup 5 sup . The only Severi variety with n 4 is the Segre embedding of P sup 2 sup × P sup 2 sup into P sup 8 sup , found by Scorza in 1908. The only Segre variety with n 8 is the 8 dimensional Grassmannian G 1,5 of lines in P sup 5 sup embedded into P sup 14 sup , found by John Greenlees Semple in 1931. The only Severi variety with n 16 is a 16 dimensional variety E sub 6 sub Spin 10 U 1 in P sup 26 sup found by R. Lazarsfeld in 1981. These 4 Severi varieties can be constructed in a uniform way, as orbits of groups acting on the complexifications of the 3 by 3 hermitian matrices over the four real possibly non associative division algebras of dimensions 2 sup k sup 1, 2, 4, 8. These representations have complex dimensions 3 2 sup k sup 1 6, 9, 15, and 27, giving varieties of dimension 2 sup k 1 sup 2, 4, 8, 16 in projective spaces of dimensions 3 2 sup k sup 2 5, 8, 14, and 26. Zak proved that the only Severi varieties are the 4 listed above, of dimensions 2, 4, 8, 16. References Citation last1 Hartshorne first1 Robin author1 link Robin Hartshorne title Varieties of small codimension in projective space doi 10.1090 S0002 9904 1974 13612 8 id MR 0384816 year 1974 ... more details
In mathematics , a rational variety is an algebraic variety , over a given field mathematics field K , which is birationally equivalent to a projective space of some dimension over K . This means that its function field of an algebraic variety function field is isomorphic to math K U 1, dots , U d , math the field of all rational function s for some set math U 1, dots, U d math of indeterminate s, where d is the dimension of an algebraic variety dimension of the variety. Rationality and parameterization Let V be an affine algebraic variety of dimension d defined by a prime ideal I f sub 1 sub , ..., f sub k sub in math K X 1, dots , X n math . If V is rational, then there are d 1 polynomials g sub 0 sub , ..., g sub d sub in math K U 1, dots , U d math such that math f i g 1 g 0, ldots, g d ... math of the variety. Conversely, such a rational parameterization induces a field homomorphism of the field ... onto. If such a parameterization exists, the variety is said unirational . L roth s theorem see ... the function field of a rational variety such field extensions are also described as purely ... can be read off geometrically from the Riemann Hurwitz formula . Unirationality A unirational variety is one covered by a rational variety, so that on the function field level it has a function field ... Clemens Griffiths 1972 showed that a cubic three fold is in general not a rational variety, providing ... 476. 14M20 11G25 14G05 Retrieved From Google Scholar 05 12 2008 ref Rationally connected variety A rationally connected variety V is a Algebraic variety Projective variety projective algebraic variety ... map algebraic geometry regular map from the projective line into V . Equivalently, a variety is rationally connected if every two points are connected by a rational curve contained in the variety ... which are rationally connected are the rational ones. Every rational variety , including the projective ... Rational surface Severi Brauer variety Birational geometry Notes reflist References Citation last1 ... more details
of rank r contains the Singular point of an algebraic variety singular locus of math Y r math , and in fact ... along with the Jacobian criterion for nonsingularity. The variety Y sub r sub naturally ... of linear maps between two vector bundles on an algebraic variety. Then the determinantal varieties ... more details
In mathematics , the Prym variety construction named for Friedrich Prym is a method in algebraic geometry of making an abelian variety from a morphism of algebraic curve s. In its original form, it was applied to an unramified Double cover topology double covering of a Riemann surface , and was used by Friedrich Schottky F. Schottky and H. W. E. Jung in relation with the Schottky problem , as it now called, of characterising Jacobian varieties among abelian varieties. It is said to have appeared first in the late work of Bernhard Riemann Riemann , and was extensively studied by Wilhelm Wirtinger Wirtinger in 1895, including degenerate cases. Given a non constant morphism &phi C sub 1 sub &rarr C sub 2 sub of algebraic curves, write J sub i sub for the Jacobian variety of C sub i sub . Then from construct the corresponding morphism &psi J sub 1 sub &rarr J sub 2 sub , which can be defined on a divisor class D of degree zero by applying to each point of the divisor. This is a well defined morphism, often called the norm homomorphism . Then the Prym variety of is the kernel algebra kernel of . To qualify that somewhat, to get an abelian variety , the connected component of the identity of the reduced scheme underlying the kernel scheme theory kernel may be intended. Or in other words take the largest abelian subvariety of J sub 1 sub , on which is trivial. The theory of Prym varieties was dormant for a long time, until revived by David Mumford around 1970. It now plays a substantial role in some contemporary theories, for example of the Kadomtsev Petviashvili equation . One advantage of the method is that it allows one to apply the theory of curves to the study of a wider class of abelian varieties than Jacobians. For example, principally polarized abelian varieties p.p.a.v. s of dimension 3 are not generally Jacobians, but all p.p.a.v. s of dimension 5 or less are Prym varieties. It is for this reason that p.p.a.v. s are fairly well understood up to dimension ... more details
In algebraic geometry , a Schubert variety is a certain algebraic variety subvariety of a Grassmannian , usually with Mathematical singularity singular points . Described by means of linear algebra , a typical example consists of the k dimensional subspaces V of an n dimensional vector space W , such that math dim V cap W j ge j math for j 1, 2, ..., k , where math W 1 subset W 2 subset cdots subset W k, quad dim W j a j math is a certain flag mathematics flag of subspaces in W and 0 a sub 1 sub ... a sub k sub n . More generally, given a Semisimple algebraic group semisimple algebraic group G with a Borel subgroup B and a standard parabolic subgroup P , it is known that the homogeneous space X G P , which is an example of a flag variety , consists of finitely many B orbits that may be parametrized by certain elements of the Weyl group W . The closure of the B orbit associated to an element w of the Weyl group is denoted by X sub w sub and is called a Schubert variety in G P . The classical case corresponds to G SL sub n sub and P being the k th maximal parabolic subgroup of G . Significance Schubert varieties form one of the most important and best studied classes of singular algebraic varieties. A certain measure of singularity of Schubert varieties is provided by Kazhdan Lusztig polynomial s, which encode their local Goresky MacPherson intersection cohomology . The algebras of regular functions on Schubert varieties have deep significance in algebraic combinatorics and are examples of algebra with a straightening law algebras with a straightening law . Co homology of the Grassmanian, and more generally, of more general flag varieties, is spanned by the co homology classes of Schubert varieties, the Schubert cycles . The study of the intersection theory on the Grassmanian was initiated by Hermann Schubert and continued ... of algebraic geometry , Wiley Interscience 1978 springer id S s083430 title Schubert variety author ... more details
In geometry , Hessenberg varieties , first studied by De Mari, Claudio Procesi Procesi , and Shayman, are a family of subvarieties of the full flag variety which are defined by a Hessenberg function h and a linear transformation X . The study of Hessenberg varieties was first motivated by questions in numerical analysis in relation to algorithms for computing eigenvalues and eigenspaces of the linear operator X . Later work by Springer, Peterson, Kostant, among others, found connections with combinatorics , representation theory and cohomology . Definitions A Hessenberg function is a function of tuples math h 1,2, ldots,n rightarrow 1,2, ldots,n math where math h i 1 geq text max i,h i text for all 1 leq i leq n 1. math For example, math h 1,2,3,4,5 2,3,3,4,5 , math is a Hessenberg function. For any Hessenberg function h and a linear transformation math X C n rightarrow C n, , math the Hessenberg variety is the set of all flags math F bullet math such that math X cdot F i subseteq F h i math for all i. Here math F h i math denotes the vector space spanned by the first math h i math vectors in the flag math F bullet math . math mathcal H X,h F bullet mid X F i subset F h i text for 1 leq i leq n math Examples Some examples of Hessenberg varieties with their math h math function include The Full Flag variety h i n for all i The Peterson variety math h i i 1 math for math i 1,2, dots, n 1 math The Springer variety math h i i math for all math i math . References Reflist F. De Mari, Claudio Procesi C. Procesi , and M. Shayman, Hessenberg varieties , Trans. Amer. Math. Soc. 332 1992 , 529 534. B. Kostant , Flag Manifold Quantum Cohomology , the Toda Lattice, and the Representation with Highest Weight math rho math , Selecta Mathematica. N.S. 2 , 1996, 43&ndash 91. J. Tymoczko, Linear conditions imposed on flag varieties , Amer. J. Math. 128 2006 , 1587 1604. Category Algebraic geometry Category Algebraic combinatorics Category Article Feedback 5 ... more details
coord 44 22 39.81 N 73 13 44.37 W region US display title Variety Unit is an exhibit building at Shelburne Museum in Shelburne, Vermont . History Variety Unit is the only structure at Shelburne Museum that is original to the site. Built in 1835, the building was originally known as the Weed House, but was renamed Variety Unit to reflect the wide range of decorative arts exhibited there. Architecture The original brick structure, with its front gable orientation and fully articulated pediment, reflects the style of Greek Revival architecture popular in the mid 19th century. However, the complex rambling interior composed of a series of one and two room additions, constructed over time as the occupants required more space, embodies the New England tradition of continuous architecture. Variety Unit collections Glass Shelburne Museum s glass collection numbers nearly two thousand pieces dating from 1750 to 1900 and includes free blown flasks, window glass, and mold blown bottles and flasks pattern glass plates, serving dishes and decorative piecesl colorful canes, rolling pins, marbles, witch balls and other whimseys and miniature glass doll dishes. The Garrison collection of American pattern glass goblets includes eleven hundred patterns. In addition the collection includes a wide range of patent medicine and apothecary bottles. ref name Shelburne Museum 1993 Shelburne Museum. 1993 ... pair of Chelsea swans can also be seen in the Variety Unit. Dolls and Dollhouses Shelburne ... are on exhibition in Variety Unit in galleries re designed in 2004 with new lighting and exhibition ... be seen in the Variety Unit. ref name Shelburne Museum 1993 Not all dolls were playthings. In the late ... of forms. A variety of teeth are decorated with whaling scenes, portraits, and patriotic motifs. A Susan ... with their brand. Other The Variety Unit is also home to the glass canes, globlets, toby jug s, and trivet ... Museum, Inc. http www.shelburnemuseum.org buildings and grounds detail.php?id 31 Variety Unit ... more details
Infobox Film name Variety Girl image Poster Variety Girl 01.jpg image size caption director George Marshall director George Marshall producer Daniel Dare writer Monte Brice br Edmund L. Hartmann br Frank Tashlin br Robert L. Welch starring Mary Hatcher br Olga San Juan br DeForest Kelley br Frank Ferguson br Glenn Tyron br Nella Walker br Torben Meyer br Jack Norton actor Jack Norton br William Demarest music Johnny Burke lyricist Johnny Burke br Jimmy Mulcay br Mildred Mulcay br Edward H. Plumb cinematography Lionel Lindon br Stuart Thompson editing LeRoy Stone distributor Paramount Pictures released 24 August 1947 runtime 93 mins country United States language English language English Variety Girl 1947 is an all star movie musical produced by Paramount Pictures . Numerous Paramount contract players and directors make cameos or perform songs, with particularly large amounts of screen time featuring Bing Crosby . The story revolves around two young girls who exchange identities, causing confusion at the Variety Club show business charity and the Paramount studio. The elaborate closing song, Harmony, begins with Bing Crosby and Bob Hope singing and dancing on stage in matching checkered suits and straw hats, eventually moves to a merry go round with Gary Cooper in cowboy regalia seated on a plastic horse while talking through a couple of stanzas with Barry Fitzgerald , then gradually incorporates the entire cast, which includes almost everyone under contract to Paramount at the time, in a rousing finale launched by William Holden and Ray Milland chasing a scantily clad woman across a soundstage. The film featured a cartoon sequence in Technicolor which is in black and white in most prints. Cast Mary Hatcher as Catherine Brown Olga San Juan as Amber La Vonne DeForest Kelley as Bob Kirby Frank Ferguson as R.J. O Connell Glenn Tyron as Bill Farris Nella Walker as Mrs. Webster ... musical films it Rivista di stelle pt Variety Girl ... more details
Infobox Theatre name Variety Playhouse image VarietyPlayhouseAtlantaFrontFacade.JPG image size 360px ... Variety Playhouse is a music venue in the Little Five Points neighborhood of Atlanta, Georgia Atlanta , Georgia U.S. state Georgia , United States . It is located on Euclid Avenue and features a variety ... a variety of domestic and imported beers, wine and typical theater snacks. History The building dates ... ref The Society proceeded to have film festivals and other events in Ellis honor for a few years . Variety ... The Variety Playhouse and reportedly spent 100,000 renovating the building. This included building ... of the theater only lasted about one year. Variety Playhouse 1990 present File Magnapop reunion 2011.jpg alt thumb The Variety Playhouse continues its operations today here, Atlanta based Magnapop is shown ... Constitution that he planned to make the Variety into a place where you can see a top rated ... perpage 10&p sort YMD date D&s trackval GooglePM title Variety gets new manager first Keith L. last ... continued under the same management. ref name VPTechSpecs Artists Image Katie White Variety Playhouse.JPG thumb 250px right Katie White of The Ting Tings performs at the Variety Playhouse on 23 October 2008 As suggested by the name of the venue, a wide variety of artists have performed here in the two ... Augustana , ref name Flickr Citation url http www.flickr.com photos variety playhouse title Variety ... spawns musical revolution in Atlanta s Variety Playhouse first Tomi and Kurk last Johnson publisher ... boasts good acoustics and a well equipped sound system, ref name VPTechSpecs Citation url http variety playhouse.com Variety Specs 2007.pdf title Variety Playhouse Technical Specifications PDF publisher Variety Playhouse date 2007 07 30 accessdate 2009 01 18 ref leading several artists to record live ... Live at the Variety Playhouse 7.10.99 ref Lea DeLaria , ref Allmusic class album id r202816 label ... 451 index.php?option com content&task view&id 18 title Dominic Gaudious Live at the Variety Playhouse ... more details
In number theory , a Shimura variety is a higher dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q . The term Shimura variety applies to the higher dimensional case, in the case of one dimensional varieties one speaks of Shimura curves . Hilbert modular surface s and Siegel modular form Siegel modular varieties are among the best known classes of Shimura varieties. Special instances of Shimura varieties were originally introduced by Goro Shimura in the course of his generalization of the complex multiplication theory. Shimura showed that while initially defined analytically, they are arithmetic objects, in the sense that they admit models field of definition defined over a number field , the reflex field of the Shimura variety. In the 1970s, Pierre Deligne created an axiomatic ... of a Shimura variety are more amenable to study than general automorphic forms in particular, there is a construction ... variety Let A sub &fnof sub be the adele ring ring of adeles of Q . For any sufficiently small compact ... X times G mathbb A f K math is a finite disjoint union of locally symmetric variety locally symmetric ... variety associated with the Shimura datum G , X and denoted Sh G , X . History For special types ... of complex multiplication theory. In retrospect, the name Shimura variety was introduced ... D sup × sup gives rise to a canonical Shimura variety. Its dimension d is the number of infinite ... models and special points Each Shimura variety can be defined over a canonical number field E called ... closure of sets of special points on a Shimura variety is described by the Andre Oort conjecture ..., Robert Langlands made a prediction that the Hasse Weil zeta function of any algebraic variety ... when W is a Shimura variety. ref Qualification many examples are known, and the sense in which ... variety can be expressed in terms of the automorphic L functions of his paper of 1970 is weaker ... more details
File Pinot Noir Moldova.JPG right thumb 250px The international variety Pinot noir growing in Moldova wine Moldova An International variety is a grape variety that is widely planted in most of the major wine producing regions and has widespread appeal and consumer recognition . These are grapes that are highly likely to appear on wine label s as varietal wines and are often considered Benchmarking benchmarks for emerging wine industries. There is some criticism that the popularity of so called international varieties comes at the price of a region s Indigenous ecology indigenous varieties. The majority of declared international varieties are French wine French in origin most notably Cabernet Sauvignon and Chardonnay , though in recent years the popularity of Spanish wine Spanish such as Tempranillo and Italian wine Italian varietals like Sangiovese and Nebbiolo has seen an increase in worldwide plantings and these may also be considered international varieties . ref name Oxford pg 358 J. Robinson ed The Oxford Companion to Wine Third Edition pg 358 Oxford University Press 2006 ISBN 0198609906 ref Classic varieties File Merlot Grape.jpg 250px left thumb Merlot grapes growing in the La Mancha DO La Mancha region of Spain Wine expert Karen MacNeil describes an international variety as a classic variety which has a long established reputation for making premium quality wines in locations across the globe. The origins for many of these grapes trace back to France which has had a History of French wine long history of influencing global viticulture and winemaking thought. The nine classic international varieties that MacNeil lists include Cabernet Sauvignon , Chardonnay , Chenin blanc , Merlot , Pinot noir , Riesling , Sauvignon blanc , Semillon and Syrah . ref name MacNeil pg 48 59 K. MacNeil The Wine Bible pg 48 59 Workman Publishing 2001 ISBN 1563054345 ref Other varieties ... UVa.jpg right thumb 250px The familiar flavors and name recognition of Chardonnay have seen the variety ... more details
In algebraic geometry , a Fano variety , introduced by harvs authorlink Gino Fano last Fano year1 1934 year2 1942 , is a non singular Complete algebraic variety complete variety whose anticanonical bundle is ample line bundle ample . Fano varieties are quite rare, compared to other families, like Calabi Yau manifold s and general type surface s. The example of projective hypersurfaces The fundamental example of Fano varieties are the algebraic geometry of projective spaces projective spaces the canonical line bundle anticanonical line bundle of math mathbb P mathbf k n math is math mathcal O n 1 math , which is very ample its curvature is n 1 times the Fubini Study symplectic form . Let D be a smooth Weil divisor in math mathbb P mathbf k n math , from the adjunction formula , we infer math mathcal K D mathcal K X D n 1 H mathrm deg D H D math , where H is the class of the hyperplane. The hypersurface D is therefore Fano if and only if math mathrm deg D n 1 math . Some properties The existence of an ample line bundle on X is equivalent to X being a projective variety , so this is the case for Fano varieties. The Kodaira vanishing theorem implies that the sheaf cohomology higher cohomology groups math H i X, mathcal O X math of the structure sheaf vanish for math i 0 math . In particular, the first Chern class induces an isomorphism math c 1 mathrm Pic X to H 2 X, mathbb Z . math A Fano variety is simply connected and is uniruled , in particular it has Kodaira dimension &minus . Classification in small dimensions Fano varieties in dimensions 1 are isomorphism isomorphic to the projective line . In dimension 2 they are del Pezzo surface s and are isomorphic to either math mathbb P 1 times mathbb P 1 math or to the projective plane blown up in at most 8 general points, and in particular are again all rational. In dimension 3 there are non rational examples. Iskovskih harvtxt last1 Iskovskih year1 1977 year2 1978 year3 1979 classified the Fano 3 folds with second Betti number ... more details
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