Cohomology of $p$-adic Stein spaces

Abstract : We compute the $p$-adic \'etale 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-\'etale cohomology of $p$-adic Stein spaces.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01956990
Contributor : Wieslawa Niziol <>
Submitted on : Monday, December 17, 2018 - 4:58:52 AM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM

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  • HAL Id : ensl-01956990, version 1
  • ARXIV : 1801.06686

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Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol. Cohomology of $p$-adic Stein spaces. 2018. ⟨ensl-01956990⟩

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