Sur la cohomologie des compactifications de vari\'et\'es de Deligne-Lusztig
Abstract
In this article, we study the \'etale 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 GLd, and we conjecture that the similar result holds for general reductive groups.
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