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arXiv · 1104.1487

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

Michishige Tezuka·Nobuaki Yagita
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Abstract

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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Michishige Tezuka, Nobuaki Yagita. 2011-04-08. The etale cohomology of the general linear group over a finite field and the Deligne and Lusztig variety. https://arxiv.org/abs/1104.1487

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