The spectrum of a category of maximal Cohen-Macaulay modules
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909266745491456 |
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| author | Hiramatsu, Naoya |
| author_facet | Hiramatsu, Naoya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16913 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The spectrum of a category of maximal Cohen-Macaulay modules Hiramatsu, Naoya Commutative Algebra 13C14 (Primary) 16G60 (Secondary) 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. |
| title | The spectrum of a category of maximal Cohen-Macaulay modules |
| topic | Commutative Algebra 13C14 (Primary) 16G60 (Secondary) |
| url | https://arxiv.org/abs/2407.16913 |