Connected components of closed affine Deligne-Lusztig varieties

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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.
15 pages, some errors corrected, to appear in Mathematische Annalen

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Algebraic Geometry, 20G25, 14G35

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http://salesiana.dossiersoluciones.com/handle/123456789/135174

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607678
 http://arxiv.org/abs/math/0607678

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arXiv