13 citations · 20 across the 11 of their papers we have counts for
7 papers · 1 filter
Hodge Theory of -adic analytic varieties: a survey
Pierre Colmez, Wiesława Nizioł
Hodge Theory of -adic analytic varieties was initiated by Tate in his 1967 paper on -divisible groups, where he conjectured the existence of a Hodge-like decomposition for th…
Topological Vector Spaces
Pierre Colmez, Wiesława Nizioł
Motivated by applications to duality theorems for -adic pro-étale cohomology of rigid analytic spaces, we study the category of Topological Vector Spaces in the setting of conde…
Duality for -adic geometric pro-étale cohomology
Pierre Colmez, Sally Gilles, Wiesława Nizioł
We prove that -adic geometric pro-étale cohomology of smooth partially proper rigid analytic varieties over -adic fields seen in the category of Topological Vector Spaces sat…
On the cohomology of p-adic analytic spaces, II: The -conjecture
Pierre Colmez, Wiesława Nizioł
Long ago, Fontaine formulated conjectures (now theorems) relating étale and de Rham cohomologies of algebraic varieties over -adic fields. In an earlier work we have shown that…
Integral -adic étale cohomology of Drinfeld symmetric spaces
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We compute the integral -adic étale cohomology of Drinfeld symmetric spaces of any dimension. This refines the computation of the rational -adic étale cohomology from Colmez-…
On p-adic comparison theorems for rigid analytic varieties, I
Pierre Colmez, Wiesława Nizioł
We compute, in a stable range, the arithmetic p-adic etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral mode…
On the cohomology of the affine space
Pierre Colmez, Wieslawa Niziol
We compute the p-adic geometric pro-étale cohomology of the affine space (in any dimension). This cohomogy is non-zero, contrary to the étale cohomology, and can be described by me…