A topology on the set of isomorphism classes of maximal Cohen-Macaulay modules

Naoya Hiramatsu
Ryo Takahashi

© 2020 American Mathematical Society 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.

Proceedings of the American Mathematical Society

148

6

2359

2369

10.1090/proc/14965

http://arxiv.org/abs/arXiv:1904.06035
https://doi.org/10.1090/proc/14965
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http://arxiv.org/abs/1904.06035v1