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

Autor:	Lonjou, Anne, Przytycki, Piotr, Urech, Christian
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Geometry Mathematics - Dynamical Systems 14E07 20F65 37F10
Druh dokumentu:	Working Paper
Popis:	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. Comment: Minor revisions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.01334 Zobrazit plný text záznamu View this record from Arxiv