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.
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页数：19
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