Rigid analytic reconstruction of Hyodo--Kato theory
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866915175881244672 |
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| author | Ertl, Veronika Yamada, Kazuki |
| author_facet | Ertl, Veronika Yamada, Kazuki |
| contents | We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice of a uniformiser and study its dependence on the choice of a branch of the $p$-adic logarithm. Moreover, we show the compatibility with the classical construction of Hyodo--Kato cohomology and the Hyodo--Kato map.) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_10964 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Rigid analytic reconstruction of Hyodo--Kato theory Ertl, Veronika Yamada, Kazuki Number Theory 14F30, 14F40 14G22 We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice of a uniformiser and study its dependence on the choice of a branch of the $p$-adic logarithm. Moreover, we show the compatibility with the classical construction of Hyodo--Kato cohomology and the Hyodo--Kato map.) |
| title | Rigid analytic reconstruction of Hyodo--Kato theory |
| topic | Number Theory 14F30, 14F40 14G22 |
| url | https://arxiv.org/abs/1907.10964 |