Work

Compactly supported $p$-adic pro-étale cohomology of analytic varieties

Year: 2025

Type: preprint

Abstract: We study properties of compactly supported $p$-adic pro-étale cohomology of smooth partially proper rigid analytic varieties. In particular, we prove a comparison theorem, in a stable range, with compactly supported syntomic cohomology, which is built from compactly supported Hyodo-Kato and ${\mathcal B}^+_{\rm dr}$-cohomologies. We derive from that a (limited version of a) fundamental diagram.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.2501.13651

Authors: Achinger, Piotr, Gilles, Sally, Nizioł, Wiesława

Institutions: Sorbonne Université, Institute of Mathematics, University of Duisburg-Essen

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, European Commission, H2020 European Research Council

Awards: Research in Mathematics, Homotopy Theory of Algebraic Varieties and Wild Ramification, G434337789, P-adic Arithmetic Geometry, Torsion Classes, and Modularity, Mathematical Sciences Research Institute (MSRI)

OpenAlex ID: W4406791746

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