Berthelot's conjecture via homotopy theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908293162598400 |
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| author | Ertl, Veronika Vezzani, Alberto |
| author_facet | Ertl, Veronika Vezzani, Alberto |
| contents | We use motivic methods to give a quick proof of Berthelot's conjecture stating that the push-forward map in rigid cohomology of the structural sheaf along a smooth and proper map has a canonical structure of overconvergent F-isocrystal on the base. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Berthelot's conjecture via homotopy theory Ertl, Veronika Vezzani, Alberto Algebraic Geometry K-Theory and Homology Number Theory We use motivic methods to give a quick proof of Berthelot's conjecture stating that the push-forward map in rigid cohomology of the structural sheaf along a smooth and proper map has a canonical structure of overconvergent F-isocrystal on the base. |
| title | Berthelot's conjecture via homotopy theory |
| topic | Algebraic Geometry K-Theory and Homology Number Theory |
| url | https://arxiv.org/abs/2406.02182 |