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Topic: Mumford conjecture


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  Mumford conjecture -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-09)
The conjecture was proved in 1975 by W. Haboush, about a decade after the problem had been posed by (additional info and facts about David Mumford) David Mumford.
It is of interest in relation with Mumford's (additional info and facts about geometric invariant theory) geometric invariant theory, as well as some questions arising in classical parts of (additional info and facts about invariant theory) invariant theory.
There are other Mumford conjectures, for example on the (additional info and facts about mapping class group) mapping class group.
www.absoluteastronomy.com /encyclopedia/m/mu/mumford_conjecture.htm   (160 words)

  
 ipedia.com: David Mumford Article   (Site not responding. Last check: 2007-10-09)
David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory.
At Harvard, Mumford became a student of Oscar Zariski, and his work in geometry always combined the traditional geometric insights with the latest algebraic techniques.
Mumford’s research did much to revive the classical theory of theta functions, by showing that its algebraic content was large, and enough to support the main parts of the theory by reference to finite analogues of the Heisenberg group.
www.ipedia.com /david_mumford.html   (399 words)

  
 Bulletin of the American Mathematical Society
A. Buium, Intersections in jet spaces and a conjecture of S. Lang, Annals of Math.
G. Faltings, The general case of S. Lang's conjecture, in Barsotti Symposium in Algebraic Geometry, Academic Press, 1994.
E. Hrushovski, The Mordell-Lang conjecture for function fields, Journal of AMS 9 (1996), 667-690.
www.ams.org /bull/1997-34-04/S0273-0979-97-00730-1/home.html   (523 words)

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