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Compactly supported $p$-adic pro-étale cohomology of analytic varieties (2501.13651v1)
Published 23 Jan 2025 in math.AG and math.NT
Abstract: We study properties of compactly supported $p$-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 ${\mathcal B}+_{\rm dr}$-cohomologies. We derive from that a (limited version of a) fundamental diagram.