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math.AG2016
La conjecture du facteur direct
Yves Andre
Building on his reduction to the case of an unramified complete regular local ring R of mixed characteristic, we propose a proof in the framework of P. Scholze's perfectoid theory.…
math.AG2011
Solution algebras of differential equations and quasi-homogeneous varieties: a new differential Galois correspondence
Yves Andre
We develop a new connection between Differential Algebra and Geometric Invariant Theory, based on an anti-equivalence of categories between solution algebras associated to a linear…
math.AG2007
An algebraic proof of Deligne's regularity criterion for integrable connections
Yves André
Deligne's regularity criterion for an integrable connection on a smooth complex algebraic variety says that is regular along the irreducible divisors at infin…