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Berthelot’s conjecture via homotopy theory
Veronika Ertl, Alberto Vezzani
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Source: Crossref
Published: Dec 1, 2025
DOI: 10.1215/00127094-2025-0021
Open original source ↗Source abstract
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.
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