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arXiv · 1112.5383

Cohomology of Deligne-Lusztig varieties for groups of type A

Olivier Dudas
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Abstract

We study the cohomology of parabolic Deligne-Lusztig varieties associated to unipotent blocks of GLn(q). We show that the geometric version of Broué's conjecture over Q_\ell, together with Craven's formula, holds for any unipotent block whenever it holds for the principal Phi_1-block, that is for the variety X(π).

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BibTeXRIS

Olivier Dudas. 2011-12-22. Cohomology of Deligne-Lusztig varieties for groups of type A. https://arxiv.org/abs/1112.5383

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