A motivic integral $p$-adic cohomology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909829284495360 |
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| author | Merici, Alberto |
| author_facet | Merici, Alberto |
| contents | We construct an integral $p$-adic cohomology that compares with rigid cohomology after inverting $p$. Our approach is based on the log-Witt differentials of Hyodo-Kato and log-étale motives of Binda-Park-Østvær. In case $k$ satisfies resolutions of singularities, we moreover prove that it agrees with the "good" integral $p$-adic cohomology of Ertl-Shiho-Sprang: from this we deduce some interesting motivic properties and a Künneth formula for the $p$-adic cohomology of Ertl-Shiho-Sprang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14303 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A motivic integral $p$-adic cohomology Merici, Alberto Algebraic Geometry 14F30 (Primary), 14F42, 19E15 We construct an integral $p$-adic cohomology that compares with rigid cohomology after inverting $p$. Our approach is based on the log-Witt differentials of Hyodo-Kato and log-étale motives of Binda-Park-Østvær. In case $k$ satisfies resolutions of singularities, we moreover prove that it agrees with the "good" integral $p$-adic cohomology of Ertl-Shiho-Sprang: from this we deduce some interesting motivic properties and a Künneth formula for the $p$-adic cohomology of Ertl-Shiho-Sprang. |
| title | A motivic integral $p$-adic cohomology |
| topic | Algebraic Geometry 14F30 (Primary), 14F42, 19E15 |
| url | https://arxiv.org/abs/2211.14303 |