Truncated pushforwards and refined unramified cohomology
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929537093206016 |
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| author | Alexandrou, Theodosis Schreieder, Stefan |
| author_facet | Alexandrou, Theodosis Schreieder, Stefan |
| contents | For a large class of cohomology theories, we prove that refined unramified cohomology is canonically isomorphic to the hypercohomology of a natural truncated complex of Zariski sheaves. This generalizes a classical result of Bloch and Ogus and solves a conjecture of Kok and Zhou. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07092 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Truncated pushforwards and refined unramified cohomology Alexandrou, Theodosis Schreieder, Stefan Algebraic Geometry 14C15 (Primary) 14C25, 14F20 (Secondary) For a large class of cohomology theories, we prove that refined unramified cohomology is canonically isomorphic to the hypercohomology of a natural truncated complex of Zariski sheaves. This generalizes a classical result of Bloch and Ogus and solves a conjecture of Kok and Zhou. |
| title | Truncated pushforwards and refined unramified cohomology |
| topic | Algebraic Geometry 14C15 (Primary) 14C25, 14F20 (Secondary) |
| url | https://arxiv.org/abs/2406.07092 |