A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules
Commutative Algebra
2019-04-15 v1 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1904.06035,
title = {A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules},
author = {Naoya Hiramatsu and Ryo Takahashi},
journal= {arXiv preprint arXiv:1904.06035},
year = {2019}
}
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8 pages