Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
Dynamique des automorphismes des surfaces projectives complexes
- Serge Cantat
- Mathematics
- 15 May 1999
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 mesure… Expand
Dynamical degrees of birational transformations of projective surfaces
- J. Blanc, Serge Cantat
- Mathematics
- 1 July 2013
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 all… Expand
Sur les groupes de transformations birationnelles des surfaces
- Serge Cantat
- Mathematics
- 1 July 2011
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 satisfait… Expand
Invariant hypersurfaces in holomorphic dynamics
- Serge Cantat
- Mathematics
- 2010
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 dominant… Expand
Normal subgroups in the Cremona group
- Serge Cantat, St'ephane Lamy, Yves Cornulier
- Mathematics
- 6 July 2010
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 strategy… Expand
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
- Serge Cantat, Serge Keiji Oguiso
- Mathematics
- 29 July 2011
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 cone… Expand
Symétries birationnelles des surfaces feuilletées
- Serge Cantat, C. Favre
- Mathematics
- 20 June 2002
We provide a classification of complex projective surfaces with a holomorphic foliation whose group of birational symetries is infinite.
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
- Serge Cantat, C. Dupont
- Mathematics
- 5 October 2014
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.
Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation
- Serge Cantat, F. Loray
- Mathematics
- 2009
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 comme… Expand
...
1
2
3
4
5
...