Sur la cohomologie des compactifications de variétés de Deligne-Lusztig

2013/10/27 by Haoran Wang, Wang, Haoran
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1310.7259

openalex publication_date 2013/10/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, we study the étale cohomology of the compactification of Deligne-Lusztig varieties associated to a Coxeter element. We prove a result for the integral coefficients in the case of general linear group GL_d, and we conjecture that the similar result holds for general reductive groups.

Related

• The cohomology of Deligne-Lusztig varieties for the general linear group
• Geometry and cohomology of compactified Deligne--Lusztig varieties
• The cohomology of the affine Deligne-Lusztig varieties in the affine flag manifold of GL₂
• Compactification des variétés de Deligne-Lusztig
• Deep level Deligne--Lusztig representations of Coxeter type