Maximal Cohen-Macaulay modules over certain Segre products

被引：0

作者：

Ma, Linquan ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 06期

基金：

美国国家科学基金会;

关键词：

Maximal Cohen-Macaulay modules; multiplicity; Segre product;

D O I：

10.1080/00927872.2018.1444173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some results on the non-existence of rank one maximal Cohen-Macaulay modules over certain Segre product rings. As an application we show that over these Segre product rings there do not exist maximal Cohen-Macaulay modules with multiplicity less than or equal to the parameter degree of the ring. This disproves a conjecture of Schoutens [14].

引用

页码：2488 / 2493

页数：6

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