A motivic approach to rational $p$-adic cohomologies
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916912034742272 |
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| author | Binda, Federico Vezzani, Alberto |
| author_facet | Binda, Federico Vezzani, Alberto |
| contents | We survey over some recent applications of motivic homotopy theory in the definition and the study of $p$-adic cohomology theories. In particular, we revisit the proof of the $p$-adic weight-monodromy conjecture for smooth projective hypersurfaces in light of the motivic definition of nearby cycles and monodromy operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16196 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A motivic approach to rational $p$-adic cohomologies Binda, Federico Vezzani, Alberto Algebraic Geometry We survey over some recent applications of motivic homotopy theory in the definition and the study of $p$-adic cohomology theories. In particular, we revisit the proof of the $p$-adic weight-monodromy conjecture for smooth projective hypersurfaces in light of the motivic definition of nearby cycles and monodromy operators. |
| title | A motivic approach to rational $p$-adic cohomologies |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.16196 |