Sally Gilles

collaborators

4 papers

math.NT2026

$G_{m}$ -cohomology of $p$ -adic Stein spaces

Sally Gilles, Damien Junger

We compute the Ã©tale $G_{m}$ -cohomology of some $p$ -adic rigid analytic Stein spaces. The computation is done by considering the filtration induced by the subgroup of princ…

math.AG2025

A pro-Ã©tale-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-Ã©tale cohomology. We prove the conjecture in the cases where th…

math.AG2025

Duality for $p$ -adic geometric pro-Ã©tale cohomology

Pierre Colmez, Sally Gilles, WiesÅawa NizioÅ

We prove that $p$ -adic geometric pro-Ã©tale cohomology of smooth partially proper rigid analytic varieties over $p$ -adic fields seen in the category of Topological Vector Spaces sa…

math.AG2025

Piotr Achinger, Sally Gilles, WiesÅawa NizioÅ

We study properties of compactly supported $p$ -adic pro-Ã©tale cohomology of smooth partially proper rigid analytic varieties. In particular, we prove a comparison theorem, in a st…

Gm​-cohomology of p-adic Stein spaces

A pro-Ã©tale-to-de Rham comparison theorem for curves

Duality for p-adic geometric pro-Ã©tale cohomology

Compactly supported p-adic pro-Ã©tale cohomology of analytic varieties

$G_{m}$ -cohomology of $p$ -adic Stein spaces

Duality for $p$ -adic geometric pro-Ã©tale cohomology

Compactly supported $p$ -adic pro-Ã©tale cohomology of analytic varieties