The cohomology of period domains for reductive groups over finite fields

1999/07/15 by Sascha Orlik, Orlik, Sascha
Mathematics · #14D25 (Primary) 14F20 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14D25 #msc:14F20

paper · pdf · doi:10.48550/arxiv.math/9907100

19 pages, LaTeX

arxiv created 1999/07/15 · openalex publication_date 1999/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this paper is to give an explicit formula for the l-adic cohomology of period domains over finite fields for arbitrary reductive groups. The result is a generalisation of the computation in math.AG/9907098 which treats the case of the general linear group.

Related

• The continuous cohomology of period domains over local fields
• On the sheaf cohomology of some p-adic period domains with coefficients in certain line bundles
• The period and index of a Galois cohomology class of a reductive group over a local or global field
• The fundamental group of period domains over finite fields
• On the structure of some p-adic period domains