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Journal articles

COHOMOLOGY OF p-ADIC STEIN SPACES

Pierre Colmez 1, 2 Gabriel Dospinescu 3, 1 Wieslawa Niziol 3, 1 
1 CNRS - Centre National de la Recherche Scientifique
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
3 ENS Lyon - École normale supérieure - Lyon
Abstract : We compute the p-adic étale and the pro-etale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the p-adic pro-étale cohomology of p-adic Stein spaces.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01952500
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Submitted on : Wednesday, December 12, 2018 - 11:23:53 AM
Last modification on : Saturday, December 4, 2021 - 4:03:59 AM
Long-term archiving on: : Wednesday, March 13, 2019 - 1:11:16 PM

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  • HAL Id : ensl-01952500, version 1

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Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol. COHOMOLOGY OF p-ADIC STEIN SPACES. Inventiones Mathematicae, Springer Verlag, In press. ⟨ensl-01952500⟩

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