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Mumford conjecture information


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.

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Mumford conjecture

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several conjectures in mathematics by David Mumford. Mumford's conjecture about reductive groups, now called Haboush's theorem. The Mumford conjecture on the...

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Arithmetic of abelian varieties

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typical of several complex variables). The Manin–Mumford conjecture of Yuri Manin and David Mumford, proved by Michel Raynaud, states that a curve C in...

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List of conjectures

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conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

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David Mumford

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group Mumford measure Mumford vanishing theorem Theta representation Manin–Mumford conjecture Horrocks–Mumford bundle Deligne–Mumford moduli space of stable...

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Bogomolov conjecture

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conjecture is a conjecture, named after Fedor Bogomolov, in arithmetic geometry about algebraic curves that generalizes the Manin-Mumford conjecture in...

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Glossary of arithmetic and diophantine geometry

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zeta-function, including the Riemann hypothesis. Manin–Mumford conjecture The Manin–Mumford conjecture, now proved by Michel Raynaud, states that a curve...

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Hodge conjecture

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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...

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Geometric invariant theory

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moved on to other fields. The book's Preface also enunciated the Mumford conjecture, later proved by William Haboush. If a reductive group G acts linearly...

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Michel Raynaud

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Rueil-Malmaison, France. In 1983, Raynaud published a proof of the Manin–Mumford conjecture. In 1985, he proved Raynaud's isogeny theorem on Faltings heights...

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Arithmetic dynamics

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the Manin–Mumford conjecture, proven by Michel Raynaud, and the Mordell–Lang conjecture, proven by Gerd Faltings. The following conjectures illustrate...

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Umberto Zannier

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algebro-geometric problems. Thus they gave a new proof of the Manin–Mumford conjecture (which was first proved by Michel Raynaud and Ehud Hrushovski). Zannier...

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Pierre Deligne

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modularity conjecture Standard conjectures on algebraic cycles Abramovich, Dan; Graber, Tom; Vistoli, Angelo (2008). "Gromov-Witten Theory of Deligne-Mumford Stacks"...

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Ib Madsen

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University of Copenhagen. He is known for (with Michael Weiss) proving the Mumford conjecture on the cohomology of the stable mapping class group, and for developing...

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List of algebraic geometry topics

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radical Lie-Kolchin theorem Haboush's theorem (also known as the Mumford conjecture) Group scheme Abelian variety Theta function Grassmannian Flag manifold...

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Yuri Manin

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topology (along with John Tate, David Mumford, Michael Artin, and Barry Mazur). He also formulated the Manin conjecture, which predicts the asymptotic behaviour...

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William Haboush

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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...

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List of Russian mathematicians

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author of the Gauss–Manin connection in algebraic geometry, Manin-Mumford conjecture and Manin obstruction in diophantine geometry Grigory Margulis, worked...

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Mapping class group

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whose rational cohomology ring was conjectured by David Mumford (one of conjectures called the Mumford conjectures). The integral (not just rational)...

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Emmy Noether

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extended by William Haboush to all reductive groups by his proof of the Mumford conjecture. In this paper Noether also introduced the Noether normalization lemma...

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Model theory

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Mordell-Lang conjecture in all characteristics In 2001, similar methods were used to prove a generalisation of the Manin-Mumford conjecture. In 2011, Jonathan...

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