Work

Berthelot’s conjecture via homotopy theory

Year: 2025

Type: article

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.

Source: Duke Mathematical Journal

DOI: 10.1215/00127094-2025-0021

Authors: Veronika Ertl, Alberto Vezzani

Institutions: Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Normandie, University of Milan

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415782113

FWCI: 1.775

Cites: 35

Cited by: 1

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