Quotient of Deligne-Lusztig varieties
Representation Theory
2011-12-22 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1112.4942,
title = {Quotient of Deligne-Lusztig varieties},
author = {Olivier Dudas},
journal= {arXiv preprint arXiv:1112.4942},
year = {2011}
}