Serge Cantat

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20242026

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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.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.

math.AG2024

Dynamics of automorphism groups of projective surfaces: classification, examples and outlook

Serge Cantat, Romain Dujardin

We first present an overview of our previous work on the dynamics of subgroups of automorphism groups of compact complex surfaces, together with a selection of open problems and ne…

Solvable Automorphism Groups of Varieties

On Ramanujam's Theorem About Finite Dimensional Groups of Automorphisms

Birational conjugacies between endomorphisms on the projective plane

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

Dynamics of automorphism groups of projective surfaces: classification, examples and outlook

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