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.

引用

页码：413 / 434

页数：23

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