The spectrum of a category of maximal Cohen-Macaulay modules
Commutative Algebra
2024-07-25 v1
Abstract
We introduce an analog of the Ziegler spectrum for maximal Cohen-Macaulay modules over a complete Cohen-Macaulay local ring. We define a topology on the space of isomorphism classes of indecomposable maximal Cohen-Macaulay modules and investigate the topological structure. We also calculate the Cantor-Bendixson rank for a ring which is of CM_+-finite representation type.
Cite
@article{arxiv.2407.16913,
title = {The spectrum of a category of maximal Cohen-Macaulay modules},
author = {Naoya Hiramatsu},
journal= {arXiv preprint arXiv:2407.16913},
year = {2024}
}
Comments
9 pages