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math.AG2025
A pro-étale-to-de Rham comparison theorem for curves
Sally Gilles
We state a conjecture relating de Rham cohomology of a smooth rigid analytic variety to its compactly supported pro-étale cohomology. We prove the conjecture in the cases where the…
math.AG2025
Compactly supported -adic pro-étale cohomology of analytic varieties
Piotr Achinger, Sally Gilles, Wiesława Nizioł
We study properties of compactly supported -adic pro-étale cohomology of smooth partially proper rigid analytic varieties. In particular, we prove a comparison theorem, in a sta…