Sally Gilles

activity

20232026

collaborators

5 papers

math.NT2026

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

Sally Gilles, Damien Junger

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

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

Piotr Achinger, Sally Gilles, Wiesława Nizioł

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 sta…

math.AG2024

Duality for $p$ -adic geometric pro-étale cohomology

Pierre Colmez, Sally Gilles, Wiesława Nizioł

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

math.AG2023

On the $v$ -Picard group of Stein spaces

Veronika Ertl, Sally Gilles, Wiesława Nizioł

We study the image of the Hodge-Tate logarithm map (in any cohomological degree), defined by Heuer, in the case of smooth Stein varieties. Heuer, motivated by the computations for…

Gm​-cohomology of p-adic Stein spaces

A pro-étale-to-de Rham comparison theorem for curves

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

Duality for p-adic geometric pro-étale cohomology

On the v-Picard group of Stein spaces

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

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

Duality for $p$ -adic geometric pro-étale cohomology

On the $v$ -Picard group of Stein spaces