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arXiv · 2406.02182

Berthelot's conjecture via homotopy theory

Veronika Ertl·Alberto Vezzani
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Abstract

We use motivic methods to give a quick proof of Berthelot's conjecture stating that the push-forward 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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Veronika Ertl, Alberto Vezzani. 2024-06-04. Berthelot's conjecture via homotopy theory. https://arxiv.org/abs/2406.02182

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