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Connected components of affine Deligne-Lusztig varieties in mixed characteristic (1307.3845v2)
Published 15 Jul 2013 in math.AG
Abstract: We determine the set of connected components of minuscule affine Deligne-Lusztig varieties for special maximal compact subgroups of unramified connected reductive groups. Partial results are also obtained for non-minuscule closed affine Deligne-Lusztig varieties. We consider both the function field case and its analog in mixed characteristic. In particular, we determine the set of connected components of unramified Rapoport-Zink spaces.
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