Berthelot’s conjecture via homotopy theory
We use motivic methods to give a quick proof of Berthelot’s conjecture stating that the pushforward map in rigid cohomology of the structural sheaf along a smooth and proper map has a canonical structure of overconvergent F-isocrystal on the base.
Authors
- Alberto Vezzani (ORCID: https://orcid.org/0000-0002-1179-8287)
- Veronika Ertl (ORCID: https://orcid.org/0009-0001-2363-2401)
Institutions
- University of Milan (IT)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Université de Caen Normandie (FR)
Publication Details
- Journal
- Duke Mathematical Journal
- Published
- 2025-11-03
- DOI
- https://doi.org/10.1215/00127094-2025-0021
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00