交换自同构族和仿射空间的一个性质

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2019-12-03 DOI:10.1353/ajm.2023.0009

Serge Cantat, A. Regeta, Junyi Xie

引用次数: 14

摘要

本文证明了仿射空间是由其正则自同构群在连通仿射变种范畴中的抽象群结构决定的。为了证明这一点，我们研究了仿射变种的自同构群的交换子群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Families of commuting automorphisms, and a characterization of the affine space

In this paper we show that an affine space is determined by the abstract group structure of its group of regular automorphisms in the category of connected affine varieties. To prove this we study commutative subgroups of the group of automorphisms of affine varieties.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.