The etale cohomology of the general linear group over a finite field and the Deligne and Lusztig variety

Details The etale cohomology of the general linear group over a finite field and the Deligne and Lusztig variety The etale cohomology of the general linear group over a finite field and the Deligne and Lusztig variety

2011-04-08

arxiv.org/abs/1104.1487v1

Mathematics

Algebraic Topology

Scientific paper

Let $p\not =\ell$ be primes. We study the etale cohomology
$H^{*}_{et}(BGL_n(\bF_{p^s});\bZ/{\ell})$ over the algebraically closed field
$\bar \bF_p$ by using the stratification methods from Molina-Vistoli. To
compute this cohomology, we use the Delinge-Lusztig variety.

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