Motivic monodromy and $p$-adic cohomology theories
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.
Authors
- Martin Gallauer (ORCID: https://orcid.org/0000-0003-2539-0511)
- Alberto Vezzani (ORCID: https://orcid.org/0000-0002-1179-8287)
- Federico Binda (ORCID: https://orcid.org/0000-0002-3476-440X)
Institutions
- University of Milan (IT)
- University of Warwick (GB)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2025-04-04
- DOI
- https://doi.org/10.4171/jems/1634
- Citations
- 2
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 7.38