FAMILIES OF COMMUTING AUTOMORPHISMS, AND A CHARACTERIZATION OF THE AFFINE SPACE

被引：2
|
作者：
Cantat, Serge [1 ]
Regeta, Andriy [2 ]
Xie, Junyi [3 ]
机构：
[1] Univ Rennes, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France
[2] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany
[3] Peking Univ, BICMR, Beijing 100871, Peoples R China
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2023年 / 145卷 / 02期
关键词：
VARIETIES;
D O I：
10.1353/ajm.2023.0009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the affine space of dimension n >= 1 over an uncountable algebraically closed field k is determined, among connected affine varieties, by its automorphism group (viewed as an ab-stract group). The proof is based on a new result concerning algebraic families of pairwise commuting automorphisms.
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页码：413 / 434
页数：23
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