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The continuous cohomology of period domains over local fields

Sascha Orlik
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Abstract

In this paper we consider period domains over local fields for quasi-split reductive groups. We compute the continuous l-adic cohomology with compact support of them in the case of a basic isocrystal. This paper is a continuation of [O2] where we considered the etale cohomology with torsion coefficients of these spaces.

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Sascha Orlik. 2005-05-19. The continuous cohomology of period domains over local fields. https://arxiv.org/abs/math/0505409

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