81 citations · 241 across the 27 of their papers we have counts for
19 papers · 1 filter
Solvable Automorphism Groups of Varieties
Serge Cantat, Hanspeter Kraft, Andriy Regeta +1
Let be a variety of dimension , and let be its automorphism group. When is quasi-affine, we prove that a solvable subgroup of that is…
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 of an irreducible variety is an algebraic group, in a natu…
Orbits of automorphism groups of affine surfaces over -adic fields
Serge Cantat, Seung Uk Jang
We study orbit closures and stationary measures for groups of automorphisms of -adic affine surfaces.
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…
Finite orbits for large groups of automorphisms of projective surfaces
Serge Cantat, Romain Dujardin
We study finite orbits for non-elementary groups of automorphisms of compact projective surfaces. In particular we prove that if the surface and the group are defined over a number…
Three chapters on Cremona groups
Serge Cantat, Julie Déserti, Junyi Xie
In the first part of this article, we answer a question of I. Dolgachev, which is related to the following problem: given a birational map $f\in\mathrm{Bir}(\mathbb{P}^m_\mathbf{k}…