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20032006
most citedTransportation cost-information inequalities and applications to random dynamical systems and diffusions

255 citations

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math.AG2005

Polynomial systems supported on circuits and dessins d'enfants

F. Bihan

We study polynomial systems whose equations have as common support a set C of n+2 points in Z^n called a circuit. We find a bound on the number of real solutions to such systems wh…

math.AG2004

Monodromy of a family of hypersurfaces containing a given subvariety

Ania Otwinowska, Morihiko Saito

For a subvariety of a smooth projective variety, consider the family of smooth hypersurfaces of sufficiently large degree containing it, and take the quotient of the middle cohomol…

math.AG2004

Resolving G-torsors by abelian base extensions

V. Chernousov, Ph. Gille, Z. Reichstein

Let G be a linear algebraic group defined over a field k. We prove that, under mild assumptions on k and G, there exists a finite k-subgroup S of G such that the natural map H^1(K,…

math.AG2004

Invariant multidimensional matrices

Jean Valles

A rank Steiner bundle on which is $SL(2,\C)$ invariant is a Schwarzenberger bundle

math.AG2003

On the Deligne-Simpson problem and its weak version

Vladimir Petrov Kostov

We consider the {\em Deligne-Simpson problem (DSP) (resp. the weak DSP): Give necessary and sufficient conditions upon the choice of the conjugacy classes $c_j\subset gl(n,{\…

math.AG2003

Exceptional points of an endomorphism of the projective plane

E. Amerik, F. Campana

let f be an endomorphism of a complex projective space, of degree bigger than one. Let us call an algebraic subset exceptional for f, if its inverse image is set-theoretically equa…