English

The continuous cohomology of period domains over local fields

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0505409,
  title  = {The continuous cohomology of period domains over local fields},
  author = {Sascha Orlik},
  journal= {arXiv preprint arXiv:math/0505409},
  year   = {2007}
}

Comments

16 pages, LaTeX