Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
Group Theory
2024-06-21 v2 Algebraic Geometry
Dynamical Systems
Abstract
We prove that any finitely generated subgroup of the plane Cremona group consisting only of algebraic elements is of bounded degree. This follows from a more general result on `decent' actions on infinite direct sums. We apply our results to describe the degree growth of finitely generated subgroups of the plane Cremona group.
Cite
@article{arxiv.2307.01334,
title = {Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded},
author = {Anne Lonjou and Piotr Przytycki and Christian Urech},
journal= {arXiv preprint arXiv:2307.01334},
year = {2024}
}
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