Infobox scientist name HeisukeHironaka image image size birth date birth date and age 1931 04 09 df y birth place Yuu ch , Kuga Gun, Yamaguchi, Yamaguchi Yamaguchi , Japan br modern day Iwakuni, Yamaguchi , Japan death date death place nationality Japan ese field Mathematics work institutions Harvard ... known for prizes Fields Medal 1970 nihongo HeisukeHironakaHironakaHeisuke extra born 9 April .... Hironaka is married to Wakako Hironaka , a politician, and they have two children. List of books available in English Formal functions and formal imbeddings by HeisukeHironaka and Hideyuki Matsumura 1967 On the characters math nu math and math tau math of singularities by HeisukeHironaka Introduction to the theory of infinitely near singular points HeisukeHironaka 1974 The theory of the maximal contact Jos M. Aroca, HeisukeHironaka and Jos L. Vicente 1975 Desingularization theorems Jose M. Aroca, HeisukeHironaka and Jose L. Vicente 1977 Geometric singularity theory editors of the volume, HeisukeHironaka, Stanis aw Janeczko 2004 References Reflist External links MathGenealogy id 18752 MacTutor Biography id Hironaka Jackson, Allyn http www.ams.org notices 200509 fea hironaka.pdf Interview with HeisukeHironaka Notices of the American Mathematical Society vol. 52, no. 9 October ... see Wikipedia Persondata . NAME Hironaka, Heisuke ALTERNATIVE NAMES SHORT DESCRIPTION Mathematician ... day Iwakuni, Yamaguchi DATE OF DEATH PLACE OF DEATH DEFAULTSORT Hironaka, Heisuke Category 1931 births ... stub japan scientist stub zh min nan HironakaHeisuke da HeisukeHironaka de HeisukeHironaka es HeisukeHironaka fr HeisukeHironaka ko it HeisukeHironaka nl HeisukeHironaka ja pnb pl HeisukeHironaka pt HeisukeHironaka ru , sk HeisukeHironaka fi HeisukeHironaka uk vi HironakaHeisuke zh ... to a similar variety which has no singularities. Hironaka was for many years a Professor of mathematics ... more details
Infobox Planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Hironaka symbol image caption discovery yes discovery ref discoverer K. Endate and K. Watanabe discovery site Kitami discovered September 12, 1993 designations yes mp name 6978 alt names 1993 RD named after HeisukeHironaka mp category orbit ref epoch May 14, 2008 aphelion 3.0050555 perihelion 2.1217521 semimajor eccentricity 0.1722911 period 1499.0771306 avg speed inclination 7.47159 asc node 339.26202 mean anomaly 264.07342 arg peri 302.02261 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 13.1 6978 Hironaka 1993 RD is a Asteroid belt main belt asteroid discovered on September 12, 1993 by K. Endate and K. Watanabe at Kitami . External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 6978 Hironaka JPL Small Body Database Browser on 6978 Hironaka MinorPlanets Navigator 6977 Jaucourt 6979 Shigefumi MinorPlanets Footer DEFAULTSORT Hironaka Category Main Belt asteroids Category Asteroids named for people Category Discoveries by Kazuro Watanabe Category Discoveries by Kin Endate Category Astronomical objects discovered in 1993 beltasteroid stub fa it 6978 Hironaka la 6978 Hironaka hu 6978 Hironaka ja pl 6978 Hironaka pt 6978 Hironaka uk 6978 vi 6978 Hironaka yo 6978 Hironaka ... more details
nihongo Wakako HironakaHironaka Wakako extra born 11 May 1934, Tokyo is a Japanese writer and politician. She is a member of the House of Councillors Upper House of the Japanese Diet . Her political affiliation is with the Democratic Party of Japan . Her husband is HeisukeHironaka , a mathematician . Politician Wakako Hironaka has been a member of the House of Councillors since 1986, and currently serving her fourth term. Between 1993 1994, she was State Minister, Director General of the Environment Agency in the Hosokawa Cabinet. In the past years, she served several times as Vice President of the Democratic Party of Japan. Councillor Hironaka is currently Director of the Research Committee on International Affairs and Global Warming Issues and a Member of both the Committee on Environment and Official Development Assistance and Related Matters. She has been active internationally, as Vice Chair of Global Environmental Action GEA , an organizing member of Micro Credit Summit, a member of World Commission on Forests and Sustainable Development, Earth Charter Commission, and Teri The Energy and Resource Institute Ms. Hironaka received a B.A. in English from Ochanomizu University Ochanomizu Women s University and an M.A. in Anthropology from Brandeis University . She has written several books, essays, translations, and critiques on education, culture, society, and women s issues. Other activities Party Affiliation and Position Standing Officer, Democratic Party of Japan Membership, House Committees Chair, Research Committee on Economy, Industry and Employment Member ... . NAME Hironaka, Wakako ALTERNATIVE NAMES SHORT DESCRIPTION Japanese politician DATE OF BIRTH 1934 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Hironaka, Wakako Category Government ministers ... of Japan politicians Japan politician 1930s stub de Wakako Hironaka es Wakako Hironaka fr Wakako Hironaka ja zh ... more details
Nihongo Lieutenant General Heisuke Abe Abe Heisuke 1886 1943 was a senior officer in the Imperial Japanese Army during World War II . He was the Commandant of Cadets at the Komamoto Army Training School between 1934 and 1936, before being posted as the Commanding Officer Noncommissioned Officer Candidates Kwantung Army. He was the Commanding Officer of the 20th Depot Division when war broke out and was the Commanding Officer of the 41st Division Imperial Japanese Army 41st Division in New Guinea in 1942. He died of illness at Wewak in September 1943. ref http www.generals.dk general Abe Heisuke Japan.html ref ref http pwencycl.kgbudge.com A b Abe Heisuke.htm ref References reflist Persondata NAME Abe, Heisuke ALTERNATIVE NAMES SHORT DESCRIPTION Imperial Japanese officer DATE OF BIRTH 1886 PLACE OF BIRTH DATE OF DEATH 1943 PLACE OF DEATH Category 1886 births Category 1943 deaths Category Japanese generals Category Japanese military personnel of World War II ... more details
japanese name T d T d Heisuke 1844 &ndash December 13, 1867 was a samurai of Japan s late Edo period who served as the eighth unit captain of the Shinsengumi . His full name was T d Heisuke Fujiwara no Yoshitora . Background T d was from Edo, Musashi Province now Tokyo . Very little is known about his origin. Although he was said to be an illegitimate child of T d Takayuki , the 11th generation lord of the Tsu domain , this is highly debatable. However, one argument some use in favor of this theory is the fact that he possessed a sword made by Kazusa no suke Kaneshige, who was a swordmaker under the patronage of the Tsu domain and that such a sword would be difficult for a mere r nin to obtain, even by heritage. Another point that suggests possible Tsu domain heritage is his formal given name imina , Yoshitora , which shares a character in common with the name of the first T d lord of Tsu, T d Takatora . T d was a practitioner of the Hokushin Itt ryu , trained at Chiba Shusaku Narimasa s dojo. However, according to some sources, he was trained at It Kashitar s dojo instead. In around 1862, he started taking his meals at Kondou Isami s Shieikan. Shinsengumi Period In 1863, T d joined the Roshigumi with Kond and other members of the Shieikan. After the Shinsengumi was formed, T d first became a fukuch jokin assistant vice commander and then became the captain of the eighth unit in 1865. ref Yamamura, Tatsuya. Shinsengumi Kenkyaku Den . Tokyo PHP Kenky jo, 1998, p.186 ref Sources vary as to his role in the Serizawa Kamo one of the original commanders ..., 1998. ISBN 4569601766 Persondata NAME T d Heisuke ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1844 PLACE OF BIRTH DATE OF DEATH 1867 PLACE OF DEATH DEFAULTSORT Todo, Heisuke Category Samurai Category Shinsengumi Category 1844 births Category 1867 deaths Category Japanese swordsmen de T d Heisuke es T d Heisuke ko ja vi T d Heisuke zh ... more details
Infobox military person name Heisuke Yanagawa birth date October 2, 1879 death date Death date and age 1945 01 22 1879 10 02 birth place Nagasaki prefecture , Japan death place image image Yanagawa Heisuke.jpg 180px caption General Heisuke Yanagawa nickname allegiance Empire of Japan branch Image War flag of the Imperial Japanese Army.svg 22x20px border Imperial Japanese Army serviceyears 1900 1945 rank Lieutenant General commands IJA 1st Division, Taiwan Army, IJA 10th Army unit battles Russo Japanese War br Second Sino Japanese War br World War II awards family party Taisei Yokusankai laterwork Ministry of Justice Japan Minister of Justice Japanese name Yanagawa nihongo Heisuke Yanagawa Yanagawa Heisuke extra 2 October 1879 &ndash 22 January 1945 was a general in the Imperial Japanese Army in World War II . Biography Born in what is now part of Nagasaki, Nagasaki Nagasaki city , Nagasaki prefecture , Yanagawa was raised in ita Prefecture by his adoptive parents. He graduated from the 12th class of the Imperial Japanese Army Academy in 1900, and served in combat during the Russo Japanese War of 1904 1905. He graduated from the 24th class of the Army War College Japan Army Staff College in 1912. After serving as an instructor in the Army Cavalry School, he was appointed a military attach to China and served as an instructor at the Beijing Army College in 1918. He later traveled to Europe as part of Japan s delegation to the Versailles Peace Treaty negotiations, and from ... cite web last Ammenthorp first Steen url http www.generals.dk general Yanagawa Heisuke Japan.html title Yanagawa Heisuke work The Generals of World War II Notes reflist s start succession box title Ministry ... Jul 1941 s end Persondata Metadata see Wikipedia Persondata . NAME Yanagawa, Heisuke ALTERNATIVE NAMES ... DATE OF DEATH 1945 01 22 PLACE OF DEATH DEFAULTSORT Yanagawa, Heisuke Category 1884 births Category ... Heisuke Yanagawa ja ru , vi Yanagawa Heisuke zh ... more details
Infobox person name K no Hironaka br image Hironaka Kono.JPG alt caption birth date Birth date 1849 08 24 birth place Mutsu Province , Japan death date Death date and age 1923 12 29 1849 08 24 death place nationality Japanese other names known for occupation politician, cabinet minister Japanese name K no nihongo K no Hironaka extra 24 August 1849 &ndash 29 December 1923 was a politician and cabinet minister in the pre war Empire of Japan . Biography K no was a native of Mutsu Province modern day Fukushima Prefecture , where his father, Iwamura Hidetoshi, was a samurai in the service of Miharu Domain , who supplemented his 100 koku income through trade in clothes, sake brewing and wholesale of marine products. K no was sent to Edo for studies in Confucius Confucianism and was drawn into the sonn j i movement. During the Boshin War , he fought against his family, whose Miharu Domain remained loyal to the Tokugawa shogunate and which was a member of the uetsu Reppan D mei . Following the Meiji restoration , he served as an administrator in many locations in northern Japan for the new Meiji government , and became associated with Itagaki Taisuke and the Freedom and People s Rights Movement . With the Satsuma Rebellion , K no resisted attempts to recruit him to the side of Saig Takamori , but instead joined Itagaki in forming the Aikokusha movement, pushing for the creation of a Government of Meiji Japan Establishment of a national assembly national assembly . He was one of the founding members of the Liberal Party of Japan 1881 Jiy t political party in 1881. He was leader of the Jiy t in Fukushima Prefecture from 1882 1883, during the time of the Fukushima Incident , when conservative forces within the government sought to curb the growing power of the Jiy t ... . NAME K no Hironaka ALTERNATIVE NAMES SHORT DESCRIPTION Japanese politician DATE OF BIRTH 24 August ... Kono, Hironaka Category 1844 births Category 1923 deaths Category Samurai Category People from ... more details
champions External links sherdog id 2575 Persondata Metadata see Wikipedia Persondata . NAME Hironaka ..., Yamaguchi Yamaguchi , Japan DATE OF DEATH PLACE OF DEATH DEFAULTSORT Hironaka, Kuniyoshi Category ... more details
The nihongo Research Institute for Mathematical Sciences S ri Kaiseki Kenkyusho is a research institute attached to Kyoto University , hosting researchers in the mathematical sciences from all over Japan. The institute is often abbreviated as RIMS . RIMS was founded in April 1963. List of directors Masuo Fukuhara 1963.5.1 1969.3.31 K saku Yoshida 1969.4.1 1972.3.31 Hisaaki Yoshizawa 1972.4.1 1976.3.31 Kiyoshi It 1976.4.1 1979.4.1 Nobuo Shimada 1979.4.2 1983.4.1 Heisuke Hironaka 1983.4.2 1985.1.30 Nobuo Shimada 1985.1.31 1987.1.30 Mikio Sato 1987.1.31 1991.1.30 Satoru Takasu 1991.1.31 1993.1.30 Huzihiro Araki 1993.1.31 1996.3.31 Ky ji Sait 1996.4.1 1998.3.31 Masatake Mori 1998.4.1 2001.3.31 Masaki Kashiwara 2001.4.1 2003.3.31 Y ichir Takahashi 2003.4.1 2007.3.31 Masaki Kashiwara 2007.4.1 2009.3.31 Shigeru Morishige 2009.4.1 2011.3.31 Shigefumi Mori 2011.4.1 present Notable researchers Heisuke Hironaka , Fields Medalist Shigefumi Mori , Fields Medalist Kiyoshi It , Wolf Prize in Mathematics laureate External links http www.kurims.kyoto u.ac.jp home page coord 35 1 49.19 N 135 47 8.98 E type edu region JP display title Category Mathematical institutes Category Kyoto University Category Research institutes in Japan kyoto university stub de Research Institute for Mathematical Sciences ko ja ... more details
Infobox scientist name Bernard Teissier image Bernard Teissier2.jpg image size caption birth date birth year and age 1945 birth place death date death place nationality flag FRA name French fields Mathematics workplaces Paris Diderot University br Paris Sud 11 University br University of Tehran alma mater Paris Diderot University doctoral advisor Heisuke Hironaka doctoral students Pedro Gonz lez P rez br Herwig Hauser br Fran ois Loeser known for awards Bernard Teissier IPA fr t sje b. 1945 ref http books.google.de books?id bigQvHvkF YC&hl Plane algebraic curves by Gerd Fischer, American Mathematical Soc., 2001, p. 229. ref is a France French mathematician and a member of the Nicolas Bourbaki group. His research interests include commutative algebra and algebraic geometry . Teissier attained his doctorate from Paris Diderot University in 1973, under supervision of Heisuke Hironaka . Notes reflist External links MathGenealogy id 13781 http people.math.jussieu.fr teissier Website Persondata Metadata see Wikipedia Persondata . NAME Teissier, Bernard ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1945 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Teissier, Bernard Category 1945 births Category Living people Category French mathematicians Category 20th century mathematicians Category 21st century mathematicians Category University of Paris alumni France mathematician stub de Bernard Teissier fr Bernard Teissier pt Bernard Teissier ... more details
saved book title The Fields Medal subtitle And its recipients cover image FieldsMedalFrontArchimedes.jpg cover color DarkRed The Fields Medal And its recipients Overview Fields Medal International Mathematical Union International Congress of Mathematicians John Charles Fields R. Tait McKenzie 1936 Lars Ahlfors Jesse Douglas 1950 Laurent Schwartz Atle Selberg 1954 Kunihiko Kodaira Jean Pierre Serre 1958 Klaus Roth Ren Thom 1962 Lars H rmander John Milnor 1966 Michael Atiyah Paul Cohen mathematician Paul Cohen Alexander Grothendieck Stephen Smale 1970 Alan Baker mathematician Alan Baker Heisuke Hironaka Sergei Novikov mathematician Sergei Novikov John G. Thompson 1974 Enrico Bombieri David Mumford 1978 Pierre Deligne Charles Fefferman Grigory Margulis Daniel Quillen 1982 Alain Connes William Thurston Shing Tung Yau 1986 Simon Donaldson Gerd Faltings Michael Freedman 1990 Vladimir Drinfel d Vaughan Jones Shigefumi Mori Edward Witten 1994 Jean Bourgain Pierre Louis Lions Jean Christophe Yoccoz Efim Zelmanov 1998 Richard Borcherds Timothy Gowers Maxim Kontsevich Curtis T. McMullen 2002 Laurent Lafforgue Vladimir Voevodsky 2006 Andrei Okounkov Grigori Perelman Terence Tao Wendelin Werner 2010 Elon Lindenstrauss Ngo Bao Chau Stanislav Smirnov C dric Villani Category Wikipedia books on award winners ... more details
In mathematics , in particular in algebraic geometry , a complete algebraic variety is an algebraic variety X , such that for any variety Y the Product category theory projection Regular map algebraic geometry morphism nowrap X Y Y is a closed map , i.e. maps closed set s onto closed sets. ref Here the product category theory product variety X Y does not carry the product topology , in general the Zariski topology on it will have more closed sets except in very simple cases . ref The most common example of a complete variety is a projective variety , but there do exist complete and non projective varieties in Dimension of an algebraic variety dimensions 2 and higher. The first examples of non projective complete varieties were given by Masayoshi Nagata ref Existence theorems for nonprojective complete algebraic varieties, Illinois J. Math. 2 1958 490 498. ref and Heisuke Hironaka . citation needed date August 2010 An affine space of positive dimension is not complete. The morphism taking a complete variety to a point is a proper morphism , in the sense of scheme theory . An intuitive justification of complete , in the sense of no missing points , can be given on the basis of the valuative criterion of properness , which goes back to Claude Chevalley . Notes reflist References Section II.4 of Hartshorne AG Chapter 7 of Citation last Milne first James S. title Algebraic geometry year 2009 version v. 5.20 url http jmilne.org math CourseNotes ag.html accessdate 2010 08 04 Section I.9 of Citation last Mumford first David author link David Mumford title The red book of varieties and schemes year 1999 publisher Springer Verlag edition Second, expanded doi 10.1007 b62130 series Lecture notes in mathematics volume 1358 isbn 978 3 540 63293 1 DEFAULTSORT Complete Algebraic Variety Category Algebraic varieties sv Komplett varietet ... more details
7 Hironaka, Heisuke http links.jstor.org sici?sici 0003 486X 28196401 292 3A79 3A1 3C109 3AROSOAA ... to resolve the singularities of all reduced quasi excellent rings. Hironaka 1964 ... more details
jstor 1990969 References MacTutor Biography id Mori MathGenealogy id 100894 HeisukeHironaka , http books.google.com books?hl en&lr &id q6eSjV 0egUC&oi fnd&pg PA487&dq On the Work of Shigefumi Mori Heisuke ... more details
This is a list of people associated with Kyoto University in Japan . Several notable individuals have either studied or worked on the faculty of Kyoto University . Nobel Laureates Hideki Yukawa winner of the Nobel Prize in Physics in 1949 he became the first Japanese to win the Nobel prize Shinichiro Tomonaga winner of the Nobel Prize in Physics in 1965 Kenichi Fukui winner of the Nobel Prize in Chemistry in 1981 Susumu Tonegawa winner of the Nobel Prize in Physiology or Medicine in 1987 Ry ji Noyori winner of the Nobel Prize in Chemistry in 2001 Makoto Kobayashi physicist Makoto Kobayashi winner of the Nobel Prize in Physics in 2008 Toshihide Masukawa winner of the Nobel Prize in Physics in 2008 Fields Medalists Heisuke Hironaka mathematician , Fields Medal ists in 1970 Shigefumi Mori mathematician , Fields Medal ists in 1990 Literature Kan Kikuchi Japanese author Motojir Kajii Tatsuji Miyoshi Ooka Shohei Shohei Ooka Yasushi Inoue Akimitsu Takagi crime fiction writer Sakyo Komatsu Keiichiro Hirano Politicians Frank Hsieh aka Hsieh Chang Ting Former mayor of Kaohsiung City and Premier of the Republic of China Premier of Taiwan 2008 Democratic Progressive Party presidential candidate for the Republic of China Taiwan Osachi Hamaguchi Prime Minister of Japan Kijuro Shidehara Prime Minister of Japan Tetsu Katayama Prime Minister of Japan Fumimaro Konoe Prime Minister of Japan Hayato Ikeda Prime Minister of Japan Lee Teng hui former President of the Republic of China President of the Republic of China Taiwan Peng Ming min Taiwan s DPP candidate for the 1996 Taiwan Presidential elections Tadahiro Matsushita five time member of the House of Representatives of Japan Science Kiyoshi Oka mathematician Teiji Takagi mathematician Kinji Imanishi ecologist, anthropologist Motoo Kimura biologist Shinya Yamanaka physician Tetsuro Matsuzawa primatologist Yasutomi Nishizuka biochemist Yasunori Hayashi neuroscientist Makoto Nagao computer scientist, the 21st President of Kyoto Univer ... more details
Lorenz . Awards Fields Medal Fields Prize in Mathematics Alan Baker mathematician Alan Baker , HeisukeHironaka , Sergei Novikov mathematician Sergei Novikov and John Griggs Thompson Nobel Prize s Nobel ... more details
In mathematics , an Igusa zeta function is a type of generating function , counting the number of solutions of an equation, modulo p , p sup 2 sup , p sup 3 sup , and so on. Definition For a prime number math p math let math K math be a p adic field , i.e. math K mathbb Q p infty math , math R math the valuation ring and math P math the maximal Ideal ring theory ideal . For math z in K math math operatorname ord z math denotes the Valuation algebra valuation of math z math , math mid z mid q operatorname ord z math , and math ac z z pi operatorname ord z math for a uniformizing parameter math pi math of math R math . Furthermore let math phi K n mapsto mathbb C math be a Schwartz Bruhat function , i.e. a locally constant function with compact support and let math chi math be a Character mathematics character of math K math . In this situation one associates to a non constant polynomial math f x 1, ldots, x n in K x 1, ldots,x n math the Igusa zeta function math Z phi s, chi int K n phi x 1, ldots,x n chi ac f x 1, ldots,x n f x 1, ldots,x n s , dx math where math s in mathbb C , operatorname Re s 0, math and math dx math is Haar measure so normalized that math R n math has measure 1. Igusa s theorem harvs txt authorlink Jun Ichi Igusa first Jun Ichi last Igusa year 1974 showed that math Z phi s, chi math is a rational function in math t q s math . The proof uses Heisuke Hironaka s theorem about the resolution of singularities . Later, an entirely different proof was given by Jan Denef using p adic cell decomposition. Little is known, however, about explicit formulas. There are some results about Igusa zeta functions of Fermat varieties . Congruences modulo powers of math P math Henceforth we take math phi math to be the characteristic function of math R n math and math chi math to be the trivial character. Let math N i math denote the number of solutions of the congruence relation congruence math f x 1, ldots,x n equiv 0 mod P i math . Then the Igusa zeta function m ... more details
of the algebraic variety at the point. Intensive studies of such singularities led in the end to HeisukeHironaka s fundamental theorem on resolution of singularities in birational geometry in characteristic ... At about the same time as Hironaka s work, the catastrophe theory of Ren Thom was receiving ... more details
List of Guggenheim fellowship winners for 1971 . United States and Canadian fellows Gar Alperovitz , Lionel R. Bauman Professor of Political Economy, University of Maryland. Norman Birnbaum , University Professor, Georgetown University Law Center. Julie Bovasso , Deceased. Drama. Leo Braudy , University Professor and Bing Professor of English, University of Southern California . Ed Bullins , Playwright, Berkeley, California. Mario A. Bunge , Frothingham Professor of Logic and Metaphysics, McGill University. Robbins Burling , Emeritus Professor of Anthropology and Linguistics, University of Michigan. Noam Chomsky , Institute Professor, Department of Linguistics, M.I.T. John Desmond Clark , Professor Emeritus of Anthropology, University of California, Berkeley. Tom Clark poet Tom Clark , Poet, Berkeley, California. Henry Steele Commager , Deceased. Classics. Robert Coover , T. B. Stowell University Professor, Brown University. Arlene Croce , Dance Critic, Brooklyn, New York. Stillman Drake , Deceased. History of Science. Troy Duster , Associate Professor of Sociology, University of California, Berkeley. Hardy M. Edwards, Jr. , Deceased. Professor of Poultry Science, University of Georgia. Alfred S. Eichner , Deceased. Economics. Dale Eldred , Sculptor, Kansas City Missouri. Charles Fried , Beneficial Professor of Law, Harvard University. Murray Gell Mann , Robert Andrews Millikan Professor Emeritus of Theoretical Physics, California Institute of Technology. Sam Gilliam , Artist, Washington, D.C. Grant Gilmore , Deceased. Law. Nathanael Greene , Professor of History, Wesleyan University. Vartan Gregorian , President, Carnegie Corporation. John J. Gumperz , Emeritus Professor of Anthropology, University of California, Berkeley. Thom Gunn , Poet Retired Senior Lecturer, University of California, Berkeley, San Francisco. Heisuke Hironaka , Professor of Mathematics, Harvard University. Nathan Irvin Huggins , Deceased. U.S. History. George Izenour , Deceased. Professor Emer ... more details
mr 1748614 year 2000 volume 181 citation last Hironaka first Heisuke authorlink Hironaka title Resolution ... of blowings up is functorial with respect to Smooth morphism Smooth morphisms smooth morphisms . Hironaka ... to do explicitly. Hironaka s method Hironaka s method for arbitrary characteristic 0 varieties .... Hironaka s method Resolution of singularities in characteristic 0 in all dimensions was first proved by harvtxt Hironaka 1964 . He proved that it was possible to resolve singularities of varieties ... 2007 . Some of the recent proofs are about a tenth of the length of Hironaka s original proof, and are easy ... X is defined over a field of characteristic 0, this follows from Hironaka s theorem, and when X has ... title Weak Hironaka theorem journal Mathematical Research Letters volume 3 year 1996 issue 3 pages ... bull 2003 40 03 S0273 0979 03 00982 0 home.html title The Hironaka theorem on resolution of singularities ... 05 00493 5 home.html title Simple Hironaka resolution in characteristic zero journal J. Amer. Math ... conference 2009gcoeopsym index.html Resolution of singularities I , a video of a talk by Hironaka ... more details
Encyclopedia
top
