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arXiv · 2407.16913

The spectrum of a category of maximal Cohen-Macaulay modules

Naoya Hiramatsu
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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.

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Naoya Hiramatsu. 2024-07-24. The spectrum of a category of maximal Cohen-Macaulay modules. https://arxiv.org/abs/2407.16913

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