Motivic monodromy and p-adic cohomology theories

Alberto Vezzani; Federico Binda; Martin Gallauer

Motivic monodromy and p-adic cohomology theories

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arxiv 2306.05099 v2 pith:N42SOJUH submitted 2023-06-08 math.AG math.ATmath.KTmath.NT

Federico Binda , Martin Gallauer , Alberto Vezzani This is my paper · ORCID

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keywords cohomologymonodromytheoriesapplicationbuildchainclemens-schmidcomplex

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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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