Quasicoherent sheaves for dagger analytic geometry
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929719616733184 |
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| author | Soor, Arun |
| author_facet | Soor, Arun |
| contents | We develop a theory of quasicoherent sheaves on dagger analytic varieties based on Ind-Banach spaces. We show that they satisfy descent in the analytic topology. We define compactly supported pushforwards and produce an adjunction $f_! \dashv f^!$, and produce an excision sequence for certain inclusions of admissible open subsets. Finally, we prove a Grothendieck duality theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03101 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasicoherent sheaves for dagger analytic geometry Soor, Arun Algebraic Geometry Number Theory 14G22 (Primary), 14F06, 14F08 (Secondary) We develop a theory of quasicoherent sheaves on dagger analytic varieties based on Ind-Banach spaces. We show that they satisfy descent in the analytic topology. We define compactly supported pushforwards and produce an adjunction $f_! \dashv f^!$, and produce an excision sequence for certain inclusions of admissible open subsets. Finally, we prove a Grothendieck duality theorem. |
| title | Quasicoherent sheaves for dagger analytic geometry |
| topic | Algebraic Geometry Number Theory 14G22 (Primary), 14F06, 14F08 (Secondary) |
| url | https://arxiv.org/abs/2311.03101 |