A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules
A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules
复制标题
最大Cohen--Macaulay模同构类集合的拓扑
DOI：
10.1090/proc/14965
复制
发表时间：
2020
影响因子：
1
通讯作者：
Takahashi Ryo
中科院分区：
文献类型：
--
作者：
Hiramatsu Naoya;Takahashi Ryo
本文在结合代数上引入了一个关于n-生成模同构类集的拓扑。然后重点研究了Cohen-Macaulay局部环上极大Cohen-Macaulay模的同构类集合上的相对拓扑。讨论了某些超曲面上的不可约分支。引用
In this paper, we introduce a topology on the set of isomorphism classes of finitely generated modules over an associative algebra. Then we focus on the relative topology on the set of isomorphism classes of maximal Cohen–Macaulay modules over a Cohen–Macaulay local ring. We discuss the irreducible components over certain hypersurfaces. References