Work

Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded

Year: 2024

Type: article

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 restricted products. We apply our results to describe the degree growth of finitely generated subgroups of the plane Cremona group.

Source: Journal de l’École polytechnique — Mathématiques

DOI: 10.5802/jep.271

Authors: Anne Lonjou, Piotr Przytycki, Christian Urech

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Groups acting on fractals

OpenAlex ID: W4402649005

FWCI: 1.346

Cites: 23

Cited by: 2

Related to: 10