Serge Cantat

activity

20062026

most citedNormal subgroups in the Cremona group (long version)

81 citations · 241 across the 27 of their papers we have counts for

collaborators

34 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 Hénon maps

Serge Cantat, Romain Dujardin

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

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.

math.DS2024

Dynamics on Markov surfaces: classification of stationary measures