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

被引：1

作者：

Lonjou, Anne ^{[1
,2
]}

Przytycki, Piotr ^{[3
]}

Urech, Christian ^{[4
]}

机构：

[1] Univ Basque Country UPV EHU, Dept Math, Sarriena S-N, Leioa 48940, Bizkaia, Spain

[2] Basque Fdn Sci, IKERBASQUE, Bilbao, Spain

[3] McGill Univ, Dept Math & Stat, Burnside Hall,805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada

[4] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2024年 / 11卷

基金：

加拿大自然科学与工程研究理事会; 欧盟地平线“2020”;

关键词：

Cremona group; algebraic elements; locally elliptic actions; degree growth; SURFACES;

D O I：

10.5802/jep.271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：19

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