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Dynamique des automorphismes des surfaces K3
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Dynamique des automorphismes des surfaces projectives complexes
Resume Nous etudions la dynamique des automorphismes des surfaces complexes projectives dont l'entropie topologique est strictement positive. Siest un tel automorphisme nous construisons une mesureExpand
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Dynamical degrees of birational transformations of projective surfaces
The dynamical degree lambda( f )  of a birational transformation f measures the exponential growth rate of the degree of the formulae that define the n -th iterate of f  . We study the set of allExpand
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Sur les groupes de transformations birationnelles des surfaces
ni agissant par transformations bi- rationnelles sur les surfaces complexes compactes kahl eriennes. Nous mon- trons (a) que le groupe des transformations birationnelles d'une surface satisfaitExpand
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Invariant hypersurfaces in holomorphic dynamics
We prove the following result, which is analogous to two theorems, one due to Kodaira and Krasnov and another one due to Jouanolou and Ghys. Let M be a compact complex manifold and f a dominantExpand
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Normal subgroups in the Cremona group
Let k be an algebraically closed field. We show that the Cremona group of all birational transformations of the projective plane $$ \mathbb{P}_{\mathbf{k}}^2 $$ is not a simple group. The strategyExpand
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Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Thanks to the theory of Coxeter groups, we produce the first family of Calabi-Yau manifolds $X$ of arbitrary dimension $n$, for which ${\rm Bir}(X)$ is infinite and the Kawamata-Morrison movable coneExpand
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Symétries birationnelles des surfaces feuilletées
We provide a classification of complex projective surfaces with a holomorphic foliation whose group of birational symetries is infinite.
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Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
We classify complex projective surfaces with an automorphism of positive entropy for which the unique invariant measure of maximal entropy is absolutely continuous with respect to Lebesgue measure.
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Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation
Nous etudions l'action du groupe modulaire sur l'espace des representations du groupe fondamental de la sphere privee de quatre points dans SL(2, ℂ). Ce systeme dynamique peut etre interprete commeExpand
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