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 étale cohomology with torsion coefficients of these spaces.
Cite this article
Sascha Orlik, The continuous cohomology of period domains over local fields. Comment. Math. Helv. 82 (2007), no. 3, pp. 665–681DOI 10.4171/CMH/106