Reflexivity and Hochschild Cohomology
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917478331842560 |
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| author | Goodbody, Isambard |
| author_facet | Goodbody, Isambard |
| contents | We characterise reflexive DG-categories, as introduced by Kuznetsov and Shinder, as the reflexive objects in the closed symmetric monoidal category of DG-categories localised at Morita equivalences. As consequences, we show that the Hochschild cohomology and the derived Picard group of a reflexive DG-category coincide with those of its derived category of cohomologically finite modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09299 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reflexivity and Hochschild Cohomology Goodbody, Isambard Algebraic Geometry Category Theory Representation Theory 14A22, 16E35, 16E40, 16E45, 18G80, 18M05 We characterise reflexive DG-categories, as introduced by Kuznetsov and Shinder, as the reflexive objects in the closed symmetric monoidal category of DG-categories localised at Morita equivalences. As consequences, we show that the Hochschild cohomology and the derived Picard group of a reflexive DG-category coincide with those of its derived category of cohomologically finite modules. |
| title | Reflexivity and Hochschild Cohomology |
| topic | Algebraic Geometry Category Theory Representation Theory 14A22, 16E35, 16E40, 16E45, 18G80, 18M05 |
| url | https://arxiv.org/abs/2403.09299 |