2006/07/26 by Eva Viehmann, Viehmann, Eva
Mathematics · #14G35 #20G25 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14G35 #msc:20G25
paper · pdf · doi:10.48550/arxiv.math/0607678
15 pages, some errors corrected, to appear in Mathematische Annalen
openalex publication_date 2006/07/26 · arxiv created 2007/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.