Motivic monodromy and p-adic cohomology theories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908443369013248 |
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| author | Binda, Federico Gallauer, Martin Vezzani, Alberto |
| author_facet | Binda, Federico Gallauer, Martin Vezzani, Alberto |
| contents | We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a streamlined definition of Hyodo-Kato cohomology without recourse to log-geometry, as predicted by Fontaine, and we produce an induced Clemens-Schmid chain complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05099 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Motivic monodromy and p-adic cohomology theories Binda, Federico Gallauer, Martin Vezzani, Alberto Algebraic Geometry Algebraic Topology K-Theory and Homology Number Theory We build a unified framework for the study of monodromy operators and weight filtrations of cohomology theories for varieties over a local field. As an application, we give a streamlined definition of Hyodo-Kato cohomology without recourse to log-geometry, as predicted by Fontaine, and we produce an induced Clemens-Schmid chain complex. |
| title | Motivic monodromy and p-adic cohomology theories |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology Number Theory |
| url | https://arxiv.org/abs/2306.05099 |