Wiesława Nizioł

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20132026

most citedSyntomic cohomology and regulators for varieties over p-adic fields

46 citations · 67 across the 18 of their papers we have counts for

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10 papers · 1 filter

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.NT2024

On the geometrization of the $p$ -adic local Langlands correspondence

Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł

We survey results related to our geometrization of a part of the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$ .

math.NT2023

Arithmetic duality for $p$ -adic pro-étale cohomology of analytic curves

Pierre Colmez, Sally Gilles, Wiesława Nizioł

We prove a Poincaré duality for arithmetic $p$ -adic pro-étale cohomology of smooth dagger curves over finite extensions of $Q_{p}$ . We deduce it, via the Hochschild-Serre s…

math.NT2021

On the cohomology of $p$ -adic analytic spaces, I: The basic comparison theorem

Pierre Colmez, Wiesława Nizioł

The purpose of this paper is to prove a basic $p$ -adic comparison theorem for smooth rigid analytic and dagger varieties over the algebraic closure $C$ of a $p$ -adic field: $p$ -adi…

math.NT2020★ 1 cited

p-adic etale cohomology of period domains

Pierre Colmez, Gabriel Dospinescu, Julien Hauseux +1

We compute the p-torsion and p-adic etale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. F…

math.NT2018★ 1 cited

On uniqueness of $p$ -adic period morphisms, II

Wiesława Nizioł

We prove equality of the various $p$ -adic period morphisms for smooth, not necessarily proper, schemes. We start with showing that the $K$ -theoretical uniqueness criterium we had f…

math.NT2018

Cohomology of $p$ -adic Stein spaces

Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol

We compute the $p$ -adic étale and the pro-étale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the $p$ -adic pro-étale coho…

math.NT2016★ 7 cited

On syntomic regulators I: constructions

Wieslawa Niziol

We show that classical Chern classes from higher ( $p$ -adic) $K$ -theory to syntomic cohomology extend to logarithmic syntomic cohomology. These Chern classes are compatible -- in a…

math.NT2015

Syntomic complexes and p-adic nearby cycles

Pierre Colmez, Wieslawa Niziol

We compute syntomic cohomology of semistable affinoids in terms of cohomology of $(φ, Γ)$ -modules which, thanks to work of Fontaine-Herr, Andreatta-Iovita, and Kedlaya-Liu, is known…

math.NT2013★ 46 cited

Syntomic cohomology and regulators for varieties over p-adic fields

Jan Nekovář, Wiesława Nizioł

We show that the logarithmic version of the syntomic cohomology of Fontaine and Messing for semistable varieties over $p$ -adic rings extends uniquely to a cohomology theory for var…

On the de Rham flip-flopping in dual towers

On the geometrization of the p-adic local Langlands correspondence

Arithmetic duality for p-adic pro-étale cohomology of analytic curves

On the cohomology of p-adic analytic spaces, I: The basic comparison theorem