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Motivic monodromy and -adic cohomology theories

  • Federico Binda

    Università degli Studi di Milano, Milano, Italy

  • Martin Gallauer

    University of Warwick, Coventry, UK

  • Alberto Vezzani

    Università degli Studi di Milano, Milano, Italy
Motivic monodromy and $p$-adic cohomology theories cover
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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.

Cite this article

Federico Binda, Martin Gallauer, Alberto Vezzani, Motivic monodromy and -adic cohomology theories. J. Eur. Math. Soc. (2025), published online first

DOI 10.4171/JEMS/1634