Unusual functorialities for weakly constructible sheaves
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917965208748032 |
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| author | Hohl, Andreas Schapira, Pierre |
| author_facet | Hohl, Andreas Schapira, Pierre |
| contents | We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves. To this end, we first study some properties of weakly cohomologically constructible sheaves. We then deduce several compatibilities of the six operations in the context of (weakly) $\mathbb{R}$-constructible sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11189 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unusual functorialities for weakly constructible sheaves Hohl, Andreas Schapira, Pierre Algebraic Geometry 32S60, 18G80, 32B20 We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves. To this end, we first study some properties of weakly cohomologically constructible sheaves. We then deduce several compatibilities of the six operations in the context of (weakly) $\mathbb{R}$-constructible sheaves. |
| title | Unusual functorialities for weakly constructible sheaves |
| topic | Algebraic Geometry 32S60, 18G80, 32B20 |
| url | https://arxiv.org/abs/2303.11189 |