Supports of intersections of thick subcategories and proxy smallness
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911550103617536 |
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| author | Kato, Kiriko Takahashi, Ryo |
| author_facet | Kato, Kiriko Takahashi, Ryo |
| contents | Let R be a commutative noetherian ring. Let D^b(R) be the bounded derived category of finitely generated R-modules. Let X and Y be thick subcategories of D^b(R). In this paper, we consider the question asking when the equality Supp(X\cap Y)=Supp X\cap Supp Y holds, and give several answers. As applications, we obtain a characterization of the proxy small subcategories, and classifications of certain thick subcategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Supports of intersections of thick subcategories and proxy smallness Kato, Kiriko Takahashi, Ryo Commutative Algebra Representation Theory 13D09, 13H10 Let R be a commutative noetherian ring. Let D^b(R) be the bounded derived category of finitely generated R-modules. Let X and Y be thick subcategories of D^b(R). In this paper, we consider the question asking when the equality Supp(X\cap Y)=Supp X\cap Supp Y holds, and give several answers. As applications, we obtain a characterization of the proxy small subcategories, and classifications of certain thick subcategories. |
| title | Supports of intersections of thick subcategories and proxy smallness |
| topic | Commutative Algebra Representation Theory 13D09, 13H10 |
| url | https://arxiv.org/abs/2603.27166 |