A Theorem About Maximal Cohen-Macaulay Modules

被引：5
|
作者：
Polstra, Thomas [1 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84102 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 03期
基金：
美国国家科学基金会;
关键词：
F-SIGNATURE; SINGULARITIES; RINGS;
D O I：
10.1093/imrn/rnaa154
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that for any local strongly F-regular ring there exists natural number e(0) so that if M is any finitely generated maximal Cohen-Macaulay module, then the pushforward of M under the e(0)th iterate of the Frobenius endomorphism contains a free summand. Consequently, the torsion subgroup of the divisor class group of a local strongly F-regular ring is finite.
引用
收藏
页码：2086 / 2094
页数：9
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