Weakly approximable triangulated categories and enhancements: a survey
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929650478874624 |
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| author | Canonaco, Alberto Neeman, Amnon Stellari, Paolo |
| author_facet | Canonaco, Alberto Neeman, Amnon Stellari, Paolo |
| contents | This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqueness of enhancements of triangulated categories, with the aim of showing the fruitful interplay. In particular, we show how this leads to a vast generalization of a result by Rickard about derived invariance for schemes and rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05946 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weakly approximable triangulated categories and enhancements: a survey Canonaco, Alberto Neeman, Amnon Stellari, Paolo Algebraic Geometry Category Theory Representation Theory This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqueness of enhancements of triangulated categories, with the aim of showing the fruitful interplay. In particular, we show how this leads to a vast generalization of a result by Rickard about derived invariance for schemes and rings. |
| title | Weakly approximable triangulated categories and enhancements: a survey |
| topic | Algebraic Geometry Category Theory Representation Theory |
| url | https://arxiv.org/abs/2407.05946 |