Motivic monodromy and p-adic cohomology theories

Published 8 Jun 2023 in math.AG, math.AT, math.KT, and math.NT | (2306.05099v2)

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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