A Conjecture of Flach and Morin
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929450963173376 |
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| author | Chiarellotto, Bruno Mazzari, Nicola Nakada, Yukihide |
| author_facet | Chiarellotto, Bruno Mazzari, Nicola Nakada, Yukihide |
| contents | A conjecture, recently stated by Flach and Morin, relates the action of the monodromy on the Galois invariant part of the p-adic Beilinson-Hyodo-Kato cohomology of the generic fiber of a scheme defined over a DVR of mixed characteristic to (the cohomology of) its special fiber. We prove the conjecture in the case the special fiber, of the given arithmetic scheme, is also a fiber of a geometric family over a curve in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09839 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Conjecture of Flach and Morin Chiarellotto, Bruno Mazzari, Nicola Nakada, Yukihide Number Theory Algebraic Geometry 14F30, 14G22, 11G25 A conjecture, recently stated by Flach and Morin, relates the action of the monodromy on the Galois invariant part of the p-adic Beilinson-Hyodo-Kato cohomology of the generic fiber of a scheme defined over a DVR of mixed characteristic to (the cohomology of) its special fiber. We prove the conjecture in the case the special fiber, of the given arithmetic scheme, is also a fiber of a geometric family over a curve in positive characteristic. |
| title | A Conjecture of Flach and Morin |
| topic | Number Theory Algebraic Geometry 14F30, 14G22, 11G25 |
| url | https://arxiv.org/abs/2303.09839 |