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arXiv · 2306.05099

Motivic monodromy and p-adic cohomology theories

Federico Binda·Martin Gallauer·Alberto Vezzani
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Abstract

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.

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BibTeXRIS

Federico Binda, Martin Gallauer, Alberto Vezzani. 2023-06-08. Motivic monodromy and p-adic cohomology theories. https://arxiv.org/abs/2306.05099

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