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

页码：2086 / 2094

页数：9

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