p-Adic Hodge Theory for Rigid-Analytic Varieties

Type: Article

Publication Date: 2012-01-01

Citations: 13

DOI: https://doi.org/10.2139/ssrn.3542195

Abstract

We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-etale site, which makes all constructions completely functorial.

Locations

  • SSRN Electronic Journal - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ p-adic Hodge theory for rigid-analytic varieties 2012 Peter Scholze
+ p-adic Hodge theory for rigid-analytic varieties 2012 Peter Scholze
+ PDF Chat -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES 2013 Peter Scholze
+ Diamantine Picard functors of rigid spaces 2021 Ben Heuer
+ The Relative (de-)Perfectoidification Functor and Motivic p-Adic Cohomologies 2022 Alberto Vezzani
+ A $p$-adic Simpson correspondence for smooth proper rigid varieties 2023 Ben Heuer
+ On the cohomology of $p$-adic analytic spaces, I: The basic comparison theorem 2021 Pierre Colmez
Wiesława Nizioł
+ PDF Chat The relative Hodge-Tate spectral sequence for rigid analytic spaces 2024 Ben Heuer
+ De Rham comparison and Poincaré duality for rigid varieties 2019 Kai‐Wen Lan
Ruochuan Liu
Xinwen Zhu
+ PDF Chat Line bundles on rigid varieties and Hodge symmetry 2020 David J. Hansen
Shizhang Li
+ PDF Chat LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES 2019 Shizhang Li
Xuanyu Pan
+ PDF Chat De Rham Comparison and Poincaré Duality for Rigid Varieties 2022 Kai‐Wen Lan
Ruochuan Liu
Xinwen Zhu
+ Mod-p Poincar\'e Duality in p-adic Analytic Geometry 2021 Bogdan Zavyalov
+ On p-adic comparison theorems for rigid analytic varieties, I 2019 wieslawa niziol
Pierre Colmez
Wiesława Nizioł
+ On p-adic comparison theorems for rigid analytic varieties, I 2019 Pierre Colmez
Wiesława Nizioł
+ PDF Chat Compactly supported $p$-adic pro-\'etale cohomology of analytic varieties 2025 Piotr Achinger
Sally Gilles
Wiesława Nizioł
+ PDF Chat Duality for $p$-adic geometric pro-\'etale cohomology I: a Fargues-Fontaine avatar 2024 Pierre Colmez
Sally Gilles
Wiesława Nizioł
+ Line bundles on perfectoid covers: case of good reduction 2021 Ben Heuer
+ PDF Chat Relative Poincar\'e duality in nonarchimedean geometry 2024 Shizhang Li
Emanuel Reinecke
Bogdan Zavyalov
+ Foundations of p-adic Hodge theory -- Fourth Release 2004 Ofer Gabber
Lorenzo Ramero

Works Cited by This (0)

Action Title Year Authors