Serge Cantat

activity

20242026

collaborators

6 papers

math.AG2026

Solvable Automorphism Groups of Varieties

Serge Cantat, Hanspeter Kraft, Andriy Regeta +1

Let $X$ be a variety of dimension $n$ , and let $Aut (X)$ be its automorphism group. When $X$ is quasi-affine, we prove that a solvable subgroup of $Aut (X)$ that is…

math.AG2026

On Ramanujam's Theorem About Finite Dimensional Groups of Automorphisms

Serge Cantat, Hanspeter Kraft, Andriy Regeta +1

Ramanujam's theorem states that any connected finite-dimensional subgroup of the automorphism group $Aut (X)$ of an irreducible variety $X$ is an algebraic group, in a natu…

math.DS2026

Rigidity of the dynamics of $Aut (F_{n})$ on representations into a compact group

Serge Cantat, Christophe Dupont, Florestan Martin-Baillon

Let $G$ be a compact Lie group. Let $F_{n}$ be the free group of rank $n$ . We describe the orbits of $Aut (F_{n})$ on $Hom (F_{n}; G)$ whe…

math.DS2026

Multiplier rigidity for complex HÃ©non maps

Serge Cantat, Romain Dujardin

We investigate the multiplier rigidity problem for polynomial automorphisms of $C^{2}$ . A first result states that a complex HÃ©non map of given degree is determined up to f…

math.AG2025

Birational conjugacies between endomorphisms on the projective plane

Serge Cantat, Junyi Xie

We proved that, in characteristic 0, if two dominant endomorphisms of the projective plane of degree at least 2 are conjugate by some birational transformation, then they are conju…

math.AG2024

Orbits of automorphism groups of affine surfaces over $p$ -adic fields

Serge Cantat, Seung Uk Jang

We study orbit closures and stationary measures for groups of automorphisms of $p$ -adic affine surfaces.