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Motivic monodromy and pp-adic cohomology theories

Federico Binda, Martin Gallauer, Alberto Vezzani

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Source: Crossref

Published: Apr 4, 2025

DOI: 10.4171/jems/1634

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Source 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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Motivic monodromy and $p$-adic cohomology theories — Mathematical Frontier Network