On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917987569631232 |
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| author | Torti, Emiliano |
| author_facet | Torti, Emiliano |
| contents | We prove that the cohomology of the integral structure sheaf of a normal affinoid adic space over a non-archimedean field of characteristic zero is uniformly torsion. This result originated from a remark of Bartenwerfer around the 1980s and it partially answers a recent question of Hansen and Kedlaya (see also Problems 27 and 39 in the Non-Archimedean Scottish Book). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12468 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces Torti, Emiliano Number Theory Algebraic Geometry 14G22, 14G25 We prove that the cohomology of the integral structure sheaf of a normal affinoid adic space over a non-archimedean field of characteristic zero is uniformly torsion. This result originated from a remark of Bartenwerfer around the 1980s and it partially answers a recent question of Hansen and Kedlaya (see also Problems 27 and 39 in the Non-Archimedean Scottish Book). |
| title | On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces |
| topic | Number Theory Algebraic Geometry 14G22, 14G25 |
| url | https://arxiv.org/abs/2504.12468 |