Connected components of closed affine Deligne-Lusztig varieties

Authors :: Viehmann, Eva
Publication Year :: 2006
Publisher :: arXiv, 2006.
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.<br />Comment: 15 pages, some errors corrected, to appear in Mathematische Annalen