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Connected components of closed affine Deligne-Lusztig varieties in affine Grassmannians

Published 15 Nov 2015 in math.AG | (1511.04677v1)

Abstract: We determine the set of connected components of closed affine Deligne-Lusztig varieties for hyperspecial maximal parahoric subgroups of unramified connected reductive groups. This extends the work by Viehmann for split reductive groups, and the work by Chen-Kisin-Viehmann on minuscule affine Deligne-Lusztig varieties.

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