Wiesława Nizioł

activity

20162026

collaborators

13 papers

math.AG2026

Poincaré duality for pro-étale $Q_{p}$ -local systems

Shizhang Li, Wiesława Nizioł, Emanuel Reinecke +1

We prove finiteness and Poincaré duality for pro-étale $Q_{p}$ -local systems on proper $p$ -adic rigid-analytic spaces in the framework of Banach--Colmez spaces and establish…

math.NT2026

On the de Rham flip-flopping in dual towers

Gabriel Dospinescu, Wiesława Nizioł

We prove a version of de Rham and Hyodo-Kato flip-flopping for dual towers of rigid analytic spaces including those coming from dual basic local Shimura varieties. The main tool ar…

math.AG2026

Hodge Theory of $p$ -adic analytic varieties: a survey

Pierre Colmez, Wiesława Nizioł

Hodge Theory of $p$ -adic analytic varieties was initiated by Tate in his 1967 paper on $p$ -divisible groups, where he conjectured the existence of a Hodge-like decomposition for th…

math.AG2025

Topological Vector Spaces

Pierre Colmez, Wiesława Nizioł

Motivated by applications to duality theorems for $p$ -adic pro-étale cohomology of rigid analytic spaces, we study the category of Topological Vector Spaces in the setting of conde…

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…

Poincaré duality for pro-étale Qp​-local systems

On the de Rham flip-flopping in dual towers

Hodge Theory of p-adic analytic varieties: a survey

Topological Vector Spaces

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

Duality for p-adic geometric pro-étale cohomology

Poincaré duality for pro-étale $Q_{p}$ -local systems

Hodge Theory of $p$ -adic analytic varieties: a survey

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

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