1. Hironaka Heisuke --  Encyclopædia Britannica MLA style " hironaka heisuke." Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service APA style hironaka heisuke. Encyclopædia Britannica. Retrieved May 3, 2004 http://www.britannica.com/eb/article?eu=89069

2. Hironaka Heisuke Hironaka. Born 9 April 1931 in Yamaguchiken, Japan. Click the pictureabove to see a larger version Heisuke Hironaka attended Kyoto University. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Hironaka.html

Heisuke Hironaka Born: 9 April 1931 in Yamaguchi-ken, Japan Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Heisuke Hironaka attended Kyoto University. This university was founded in 1897 to train small numbers of selected students as academics. By the time Hironaka entered Kyoto University, after World War II, it had been integrated into a mass higher education system but had maintained its prestige. From Kyoto University Hironaka went to the United States where he continued his studies at Harvard. After completing his studies there, Hironaka was appointed to the staff at Harvard. In 1970 Hironaka had the distinction of being awarded a Fields Medal at the International Congress at Nice. This was for his work on algebraic varieties which we describe below. Among the many other honours he has received is the Order of Culture from Japan in 1975. Two algebraic varieties are said to be equivalent if there is a one-to-one correspondence between them with both the map and its inverse regular. Two varieties U and V are said to be birationally equivalent if they contain open sets U' and V' that are in biregular correspondence. Classical algebraic geometry studies properties of varieties which are invariant under birational transformations. Difficulties that arise as a result of the presence of singularities are avoided by using birational correspondences instead of biregular ones. The main problem in this area is to find a nonsingular algebraic variety U, that is birationally equivalent to an irreducible algebraic variety V, such that the mapping f: U

3. Search Results For Singular Point - Encyclopædia Britannica The new feature lies in hironaka heisuke Japanese mathematician who wasawarded the Fields Medal in 1970 for his work in algebraic geometry. http://www.britannica.com/search?query=singular point&submit=Find&source=MWTEXT

4. Hatachi - Hironaka Heisuke The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://tron.um.u-tokyo.ac.jp/tachibana/hatachi/hironaka.html

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5. Heisuke Hironaka - Encyclopedia Article About Heisuke Hironaka. Free Access, No encyclopedia article about Heisuke Hironaka. Heisuke Hironaka in Free onlineEnglish dictionary, thesaurus and encyclopedia. Heisuke Hironaka. http://encyclopedia.thefreedictionary.com/Heisuke Hironaka

Dictionaries: General Computing Medical Legal Encyclopedia Heisuke Hironaka Word: Word Starts with Ends with Definition Heisuke Hironaka April 9 April 9 is the 99th day of the year in the Gregorian calendar (100th in leap years). There are 266 days remaining. Events 193 - Septimius Severus is proclaimed Roman Emperor by the army in Illyricum (in the Balkans). 1241 - Battle of Liegnitz: Mongol forces defeats the Polish and German armies. 1682 - Robert de LaSalle discovers the mouth of the Mississippi River, claims it for France and names it Louisiana. Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1880s 1890s 1900s 1910s 1920s - Years: 1926 1927 1928 1929 1930 - Events: Elijah Muhammad meets W.D. Fard, in Detroit January 6 - Thomas Edison submits his last patent application. January 22 - Sir Isaac Isaacs sworn in as the first Australian-born Governor-General of Australia Click the link for more information. ) is a Japanese Japan Nippon/Nihon Wa Yamato Click the link for more information. mathematician A mathematician is a person whose area of study and research is mathematics.

6. Heisuke Hironaka Heisuke Hironaka. Heisuke Hironaka () (narozený 1931) jeoslavovaný pro zkušební v 1964 to singularities algebraických http://wikipedia.infostar.cz/h/he/heisuke_hironaka.html

švodn­ str¡nka Tato str¡nka v origin¡le Heisuke Hironaka Heisuke Hironaka (広中平祐) (narozen½ ) je oslavovan½ pro zkuÅ¡ebn­ v to singularities algebraick½ch rozmanitost­ připustit rozhodnut­ v nule charakteristiky. Toto mysl­ na to někter½ projective rozmanitost moci b½t nahrazen½ nějak½m podobn½m (i. e. birationally ekvivalent) kter½ m¡ ne singularities. Pro tento teor©m on vyhr¡l Medaile pol­ v 1970. On byl pro mnoho roků profesor matematiky u Harvard ale nyn­ studuje interně Japonsko kde on je velmi v¡Å¾en½ a vlivn½. On byl aktivn­ ve fondech zved¡n­ pro procesy takov© jak matematick© vzděl¡n­. Extern­ spojen­: Hironaka biografie Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

7. Heisuke Hironaka - Information An online Encyclopedia with information and facts Heisuke Hironaka Information,and a wide range of other subjects. Heisuke Hironaka - Information. http://www.book-spot.co.uk/index.php/Heisuke_Hironaka

Heisuke Hironaka - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... Interdisciplinary categories Heisuke Hironaka ) is celebrated for proving in that singularities of algebraic varieties admit resolutions in characteristic zero. This means that any projective variety can be replaced by a similar one (i.e. birationally equivalent) which has no singularities. For this theorem he won the Fields Medal in 1970. He was for many years a professor of mathematics at Harvard but currently lives in Japan where he is greatly respected and influential. He has been active in raising funds for causes such as mathematical education. External links: Hironaka biography All text is available under the terms of the GNU Free Documentation License (see for details). . Wikipedia is powered by MediaWiki , an open source wiki engine.

8. Médailles Fields Translate this page des nombres (nombres transcendants) THOMPSON John, Grande-Bretagne théorie desgroupes (finis simples) hironaka heisuke, Japon/USA variétés algébriques http://www.sciences-en-ligne.com/momo/chronomath/anx3/med_fields.html

LES MEDAILLES FIELDS historique du prix 1936 (Oslo) : AHLFORS Lars, Finlande DOUGLAS Jesse, Etats-Unis Plateau 1950 (Harvard) : SCHWARTZ Laurent , France fonctions z de Riemann 1954 (Amsterdam) : KODAIRA Kunihiko , Japon SERRE Jean-Pierre , France 1958 (Edimbourg) : , France ROTH Klaus Friedrich , Grande-Bretagne (nombres transcendants) 1962 (Stockholm) : MILNOR John, Etats-Unis cobordisme 1966 (Moscou) : COHEN Paul Joseph , Etats-Unis SMALE Stephen, Etats-Unis , n GROTHENDIECK Alexander , France ATIYAH Michael Francis, Grande-Bretagne 1970 (Nice) : BAKER Alan , Grande-Bretagne (nombres transcendants) THOMPSON John , Grande-Bretagne HIRONAKA Heisuke, Japon/USA 1974 (Vancouver) : BOMBIERI Enrico, Italie (nombres premiers) MUMFORD David Briant, Etats-Unis 1978 (Helsinki) : DELIGNE Pierre , Belgique FEFFERMAN Charles Louis, Etats-Unis QUILLEN Daniel G., Etats-Unis MARGULIS Gregory A., U.R.S.S. groupes de Lie 1982 (Varsovie) : CONNES Alain , France Von Neumann SHING-TUNG Yau, Etats-Unis

9. Hironaka Heisuke Hironaka. Born 9 April 1931 in Yamaguchiken, Japan. HeisukeHironaka attended Kyoto University. This university was founded http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Hrnk.htm

Heisuke Hironaka Born: 9 April 1931 in Yamaguchi-ken, Japan Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Heisuke Hironaka attended Kyoto University. This university was founded in 1897 to train small numbers of selected students as academics. By the time Hironaka entered Kyoto University, after World War II, it had been integrated into a mass higher education system but had maintained its prestige. From Kyoto University Hironaka went to the United States where he continued his studies at Harvard. After completing his studies there, Hironaka was appointed to the staff at Harvard. In 1970 Hironaka had the distinction of being awarded a Fields Medal at the International Congress at Nice. This was for his work on algebraic varieties which we describe below. Among the many other honours he has received is the Order of Culture from Japan in 1975. Hironaka gave a general solution of this problem in any dimension in 1964. His work generalised that of Zariski who had proved the theorem concerning the resolution of singularities on an algebraic variety for dimension not exceeding 3. Reference (One book/article) References elsewhere in this archive: H Hironaka won a Fields Medal in 1970. You can see a

10. Médaille Fields Translate this page 1970. Alan Baker, John Griggs Thompson (GB), hironaka heisuke (Jap), SergeP. Novikov (URSS),. 1974. Enrico Bombieri (Ita), David Bryant Mumford (USA). http://pages.globetrotter.net/gehtm/Theorie/fields.htm

Médaille Fields Lars Valerian Ahlfors, Jesse Douglas (USA) Alte Selberg (Nor), Laurent Schwartz (Fra) Kodaira Kunihiko (Jap), Jean-Pierre Serre (Fra) Klaus Friedrich Roth (G.-B.) et René Thom (Fra) Lars V. Hormander (Sui), John Willard Milnor (USA) Michael Francis Atiyah (G.-B.), Alexandre Grothendieck (Fra), Paul Joseph Cohen, Stephen Smale (USA) Alan Baker, John Griggs Thompson (G.-B.), Hironaka Heisuke (Jap), Serge P. Novikov (URSS), Enrico Bombieri (Ita), David Bryant Mumford (USA) Charles Louis Fefferman, Daniel G. Quillen (USA), Pierre René Deligne (Bel), Gregori Aleksandrovitch Margoulis (URSS) Alain Connes (Fra), William P. Thurston, Shing Tung-Yau (USA) Gerd Faltings (RFA), Michael Freedman (USA), Simon Donaldson (G.-B.) Vladimir Drinfeld (URSS), Shigefumi Mori (Jap), Vaughan Jones, Edward Witten (USA) Pierre-Louis Lions, Jean-Christophe Yoccoz (Fra), Jean Bourgain, Efim Zelmanov (USA) Richard E. Borcherds, W. Timothy Gowers (G.-B.), Maxim Kontsevich (Fra), Curtis T. McMullen (USA) Laurent Laforgue (Fra), Vladimir Voevodsky (Rus)

11. Lookjapan.com comes the question, Do they mean that the quality of education and research at privateuniversities is being eroded? President hironaka heisuke of Yamaguchi http://www.lookjapan.com/LBecobiz/O1MarTB.htm

Talking Business March 2001 UNIVERSITY CHALLENGE INTERVIEW BY NISHIMURA Kunio , LOOK JAPAN HOSEI University last year celebrated the 120th anniversary of its founding. Honoring its traditional ideals of "liberty and progress," the university has been working on reform for the future, promoting "Open Hosei 21," an educational program that encompasses globalization, a broad range of community exchange, and lifetime education. We asked Kiyonari Tadao, president and chairman of Hosei's Board of Trustees, about his vision for the universities of the new century. LOOK JAPAN: What's your view on the current status of higher education in Japan? KIYONARI Tadao KIYONARI TADAO : Japan's 18-year-old population has fallen by roughly 25% since the 1992 peak, and so university applicants have decreased that much over the past eight years. Because there has been little change in the number of students each school can admit, schools are getting easier to enter, allowing the average scholastic level of the students naturally to drift downward. Admitting this average decline in the students' abilities, the number of young people with a keen sense of mission is increasing in today's rapidly changing, problem-filled society. Over four years Hosei University has established four new undergraduate faculties for the twenty-first century, catering to the needs of the times. Coming into these faculties are serious students who are well aware of the problems and have a strong desire to learn. So the overall decline in students' scholastic ability does not mean that today's young people are all useless. On the contrary, the proportion of very promising youngsters is also on the rise.

12. France-Japon.net - Conférences En Avril Et Mai Et Infos Diverses Translate this page de très grands noms ont accepté de donner leur portrait Carlos Ghosn (présidentde Nissan), Oe Kenzaburo (prix Nobel), hironaka heisuke (médaille Fields http://france-japon.net/fjnet2/html/modules.php?name=News&file=print&sid=67

13. La Lettre Mensuelle Translate this page de cinq grands parrains soutenant la phrase-accroche « Préparez le Futur, Etudiezen France » Carlos GHOSN, OE Kenzburo, hironaka heisuke, OGATA Sadako http://www.ccifj.or.jp/lm/lm247/edito.html

document.write(messageDate); Site CCIFJ Archives Archives de la LM Mars 2004 Fevrier 2004 Novembre 2003 Octobre 2003 Septembre 2003 Juillet 2003 Juin 2003 Mai 2003 Avril 2003 Mars 2003 Janvier 2003 Novembre 2002 Octobre 2002 Setptembre 2002 Retour au sommaire Version PDF Avril 2004 Mars 2004 Decembre 2003 - Janvier 2004 Novembre 2003 Octobre 2003 Septembre 2003 Juillet 2003 Juin 2003 Mai 2003 Avril 2003 Mars 2003 Janvier 2003 Versions PDF de la LM Edito Le Japon bouge et la France avec lui de l'Ambassade de France au Japon (contact : Francoise.guelle@diplomatie.gouv.fr

14. Mathématiques - Alexandre Bouffier hironaka heisuke, Japon/USA variétés algébriques; NOVIKOV http://www.bouffier.org/fr/maths.html

Piphilologie : comment se rappeler du nombre Pi ? google arxiv.org home apprendre up Oslo AHLFORS Lars, Finlande DOUGLAS Jesse, Etats-Unis Harvard SCHWARTZ Laurent, France SELBERG Atle, fonctions z de Riemann Amsterdam KODAIRA Kunihiko , Japon SERRE Jean-Pierre, France Edimbourg France ROTH Klaus Friedrich, Grande-Bretagne Stockholm MILNOR John, Etats-Unis Moscou COHEN Paul Joseph, Etats-Unis SMALE Stephen, Etats-Unis GROTHENDIECK Alexander, France ATIYAH Michael Francis, Grande-Bretagne Nice BAKER Alan, Grande-Bretagne THOMPSON John, Grande-Bretagne HIRONAKA Heisuke, Japon/USA U.R.S.S. Vancouver BOMBIERI Enrico, Italie MUMFORD David Briant, Etats-Unis Helsinki DELIGNE Pierre, Belgique FEFFERMAN Charles Louis, Etats-Unis QUILLEN Daniel G., Etats-Unis MARGULIS Gregory A., U.R.S.S. groupes de Lie Varsovie CONNES Alain, France SHING-TUNG Yau, Etats-Unis THURSTON William P., Etats-Unis Berkeley FALTINGS Gerd, Allemagne preuve de la conjecture de Mordell DONALDSON Simon K., Grande-Bretagne FREEDMAN Michael, Etats-Unis Kyoto DRINFELD Vladimir G., U.R.S.S. JONES Vaughan F. R., MORI Shigefumi

15. All Members (main_a07) Translate this page 1886 Foreign Mem. Hirn Gustav Adolph. 1994 Foreign Mem. hironaka heisuke.1877 Foreign Mem. Hirsch Ferdinand. 1898 Foreign Mem. Hirth Friedrich. http://hp.iitp.ru/eng/gallery/xxa_ma07.htm

Full List of Academy Members Foreign Mem. Haber Fritz Foreign Mem. Haberlandt Gottlieb Johann Friedrich Foreign Mem. Habermas Juergen Foreign Mem. Hadamard Jacques-Salomon Foreign Mem. Hadfield Robert Abbot Foreign Mem. Haefele Wolf Foreign Mem. Hagenmuller Paul Foreign Mem. Haidinger Wilhelm Foreign Mem. Hajko Vladimir Foreign Mem. Haldane John Berdon Sanderson Foreign Mem. Hale George Ellery Foreign Mem. Halevy Joseph Foreign Mem. Halil Mardam Bay Foreign Mem. Hall Asaph Foreign Mem. Hall James Foreign Mem. Hallenberg Jonas von Foreign Mem. Haller Albin Foreign Mem. Haller Albrecht von Foreign Mem. Haller von Hallerstein Augustin Foreign Mem. Halm Carl Felix Foreign Mem. Hamaker Hendrik Arent Foreign Mem. Hamilton William Rowan Foreign Mem. Hammer-Purgstall Joseph von Foreign Mem. Hand Ferdinand Gotthelf Foreign Mem. Hanka Vaclaw Foreign Mem. Hann Julius Foreign Mem. Hansen Peter Andreas Foreign Mem. Hansteen Christopher Foreign Mem. Hardy Godfrey Harold Foreign Mem. Harlan Richard Foreign Mem. Hartke Werner Foreign Mem.

16. Foreign Members (main_a05) Translate this page 1886 Hirn Gustav Adolph (Germany). 1994 hironaka heisuke (Japan). 1877 HirschFerdinand (Germany). 1898 Hirth Friedrich (Germany). 1885 His Wilhelm (Germany). http://hp.iitp.ru/eng/gallery/fma_ma05.htm

Foreign Members of the Academy Haber Fritz (Germany) Haberlandt Gottlieb Johann Friedrich (Germany) Habermas Juergen (German Federal Republic) Hadamard Jacques-Salomon (France) Hadfield Robert Abbot (Great Britain) Haefele Wolf (German Federal Republic) Hagenmuller Paul (France) Haidinger Wilhelm (Austria) Hajko Vladimir (Czechoslovak Socialist Republic) Haldane John Berdon Sanderson (Great Britain) Hale George Ellery (USA) Halevy Joseph (France) Halil Mardam Bay (United Arab Republic) Hall Asaph (USA) Hall James (USA) Hallenberg Jonas von (Sweden) Haller Albin (France) Haller Albrecht von (Switzerland) Haller von Hallerstein Augustin (China) Halm Carl Felix (Germany) Hamaker Hendrik Arent (Netherlands) Hamilton William Rowan (Great Britain) Hammer-Purgstall Joseph von (Germany) Hand Ferdinand Gotthelf (Germany) Hanka Vaclaw (Austria (Czech)) Hann Julius (Austro-Hungary (Austria)) Hansen Peter Andreas (Germany) Hansteen Christopher (Norway) Hardy Godfrey Harold (Great Britain) Harlan Richard (USA) Hartke Werner (German Democratic Republic) Hartmann Anton Theodor (Germany) Hasan Nurul (India) Hasdeu Bogdanu Petriceicu (Romania) Hase Karl Benedikt (France) Hassel Johann Georg Heinrich (Germany) Hattala Martin (Austria (Czech)) Haug Gustave-Emile (France) Haupt Rudolph Friedrich Moriz (Germany) Hauy Rene-Just, abbot (France)

17. Heisuke Hironaka Main Page See live article, Heisuke Hironaka. Heisuke Hironaka () (born 1931) is a Japanese mathematician. He was a student of Oscar Zariski. http://www.sciencedaily.com/encyclopedia/heisuke_hironaka

Match: sort by: relevance date Free Services Subscribe by email RSS newsfeeds PDA-friendly format loc="/images/" A A A Find Jobs In: Healthcare Engineering Accounting College Contract / Freelance Customer Service Diversity Engineering Executive Healthcare Hospitality Human Resources Information Tech International Manufacturing Nonprofit Retail All Jobs by Job Type All Jobs by Industry Relocating? Visit: Moving Resources Moving Companies Mortgage Information Mortgage Calculator Real Estate Lookup Front Page Today's Digest Week in Review Email Updates ... Outdoor Living Encyclopedia Main Page See live article Heisuke Hironaka Heisuke Hironaka ) is a Japanese mathematician . He was a student of Oscar Zariski . He is celebrated for proving in that singularities of algebraic varieties admit resolutions in characteristic zero. This means that any projective variety can be replaced by a similar one (i.e. birationally equivalent) which has no singularities. For this theorem he won the Fields Medal in 1970. He was for many years a professor of mathematics at Harvard but currently lives in Japan where he is greatly respected and influential. He has been active in raising funds for causes such as mathematical education.

18. (9) La Eduko En Japanio akiris malpli ol 50 poentojn en universitata enirekzameno, solvante giajn problemojn,kiuj uzas lian propran verkajon, au ke hironaka heisuke, mondfama http://mondvojago.hp.infoseek.co.jp/esperanto/esperanto-3/309es.htm

La Eduko en Japanio

19. Domažlické Íèko - HOUSLOVÝ RECITÁL - Kultura Trikrát navštívil Japonsko. Jako sólista byl ocenen cenou hironaka heisukev souteži, kterou porádala University of. Art and Music v Takasaki. http://www.idomazlice.cz/wmview.php?ArtID=495

20. Institute DDB (Detail) Representative President, President, hironaka heisuke. Number of Teacher, 0.Number of Staff, 0. Number of Graduate Student, 0. Total Member of Organization,35. http://read.jst.go.jp/ddbs/plsql/KKN_EG_14?code=J319000000

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