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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.00554 |
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| _version_ | 1866911479812325376 |
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| author | Bonfert, Lukas |
| author_facet | Bonfert, Lukas |
| contents | We introduce derived projective covers and explain how they are related to the notion of enough derived projectives. This provides an if-and-only-if criterion for when derived projective covers form a silting collection. We prove moreover a Koszul duality result for silting and simple-minded collections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00554 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Derived projective covers and Koszul duality of simple-minded and silting collections Bonfert, Lukas Representation Theory 18G80 (Primary), 16E35, 18G35 (Secondary) We introduce derived projective covers and explain how they are related to the notion of enough derived projectives. This provides an if-and-only-if criterion for when derived projective covers form a silting collection. We prove moreover a Koszul duality result for silting and simple-minded collections. |
| title | Derived projective covers and Koszul duality of simple-minded and silting collections |
| topic | Representation Theory 18G80 (Primary), 16E35, 18G35 (Secondary) |
| url | https://arxiv.org/abs/2309.00554 |