Quotient of Deligne-Lusztig varieties

Details Quotient of Deligne-Lusztig varieties Quotient of Deligne-Lusztig varieties

2011-12-21

arxiv.org/abs/1112.4942v1

Mathematics

Representation Theory

Scientific paper

We study the quotient of parabolic Deligne-Lusztig varieties by a finite
unipotent group U^F where U is the unipotent radical of a rational parabolic
subgroup P = L U. We show that in some particular cases the cohomology of this
quotient can be expressed in terms of "smaller" parabolic Deligne-Lusztig
varieties associated to the Levi subgroup L.

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