There are several conjectures in mathematics by David Mumford.
Mumford's conjecture about reductive groups, now called Haboush's theorem.
The Mumford conjecture on the cohomology of the stable mapping class group, proved by Ib Madsen and Michael Weiss.
The Manin-Mumford conjecture about Jacobians of curves, proved by Michel Raynaud.
Topics referred to by the same term
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several conjectures in mathematics by David Mumford. Mumford'sconjecture about reductive groups, now called Haboush's theorem. The Mumfordconjecture on the...
typical of several complex variables). The Manin–Mumfordconjecture of Yuri Manin and David Mumford, proved by Michel Raynaud, states that a curve C in...
conjecture is a conjecture, named after Fedor Bogomolov, in arithmetic geometry about algebraic curves that generalizes the Manin-Mumfordconjecture in...
zeta-function, including the Riemann hypothesis. Manin–Mumfordconjecture The Manin–Mumfordconjecture, now proved by Michel Raynaud, states that a curve...
In mathematics, the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular...
moved on to other fields. The book's Preface also enunciated the Mumfordconjecture, later proved by William Haboush. If a reductive group G acts linearly...
Rueil-Malmaison, France. In 1983, Raynaud published a proof of the Manin–Mumfordconjecture. In 1985, he proved Raynaud's isogeny theorem on Faltings heights...
the Manin–Mumfordconjecture, proven by Michel Raynaud, and the Mordell–Lang conjecture, proven by Gerd Faltings. The following conjectures illustrate...
algebro-geometric problems. Thus they gave a new proof of the Manin–Mumfordconjecture (which was first proved by Michel Raynaud and Ehud Hrushovski). Zannier...
modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom; Vistoli, Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford Stacks"...
University of Copenhagen. He is known for (with Michael Weiss) proving the Mumfordconjecture on the cohomology of the stable mapping class group, and for developing...
radical Lie-Kolchin theorem Haboush's theorem (also known as the Mumfordconjecture) Group scheme Abelian variety Theta function Grassmannian Flag manifold...
topology (along with John Tate, David Mumford, Michael Artin, and Barry Mazur). He also formulated the Manin conjecture, which predicts the asymptotic behaviour...
namesake of Haboush's theorem, which he proved in 1975, resolving a conjecture of David Mumford. Haboush completed a Ph.D. in 1969 at Columbia University. His...
author of the Gauss–Manin connection in algebraic geometry, Manin-Mumfordconjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked...
whose rational cohomology ring was conjectured by David Mumford (one of conjectures called the Mumfordconjectures). The integral (not just rational)...
extended by William Haboush to all reductive groups by his proof of the Mumfordconjecture. In this paper Noether also introduced the Noether normalization lemma...
Mordell-Lang conjecture in all characteristics In 2001, similar methods were used to prove a generalisation of the Manin-Mumfordconjecture. In 2011, Jonathan...