Compactly supported $p$-adic pro-\'etale cohomology of analytic varieties
Algebraic Geometry
2025-01-24 v1 Number Theory
Abstract
We study properties of compactly supported -adic pro-\'etale 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 -cohomologies. We derive from that a (limited version of a) fundamental diagram.
Keywords
Cite
@article{arxiv.2501.13651,
title = {Compactly supported $p$-adic pro-\'etale cohomology of analytic varieties},
author = {Piotr Achinger and Sally Gilles and Wiesława Nizioł},
journal= {arXiv preprint arXiv:2501.13651},
year = {2025}
}
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