Connected components of closed affine Deligne-Lusztig varieties
Algebraic Geometry
2007-07-30 v2
Abstract
We determine the set of connected components of closed affine Deligne-Lusztig varieties for special maximal compact subgroups of split connected reductive groups. Especially, we show that such an affine Deligne-Lusztig variety has isolated points if and only if its dimension is 0. From the dimension formula for affine Deligne-Lusztig varieties we obtain a description of the set of these varieties that are zero-dimensional.
Keywords
Cite
@article{arxiv.math/0607678,
title = {Connected components of closed affine Deligne-Lusztig varieties},
author = {Eva Viehmann},
journal= {arXiv preprint arXiv:math/0607678},
year = {2007}
}
Comments
15 pages, some errors corrected, to appear in Mathematische Annalen