Miaofen Chen, Mark Kisin, Eva Viehmann
Published 2013-07-15, updated 2015-01-08Version 2
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.
Comments: 69 pages, v2: final version. Numerous modifications to improve readability, and minor corrections. The main results are unchanged
Invariance of plurigenera fails in positive and mixed characteristic
Irreducible components of minuscule affine Deligne-Lusztig varieties
On the Number of Connected Components of T-Hypersurfaces
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