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arXiv · 1307.3845

Connected components of affine Deligne-Lusztig varieties in mixed characteristic

Miaofen Chen·Mark Kisin·Eva Viehmann
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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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Miaofen Chen, Mark Kisin, Eva Viehmann. 2015-01-08. Connected components of affine Deligne-Lusztig varieties in mixed characteristic. https://doi.org/10.1112/s0010437x15007253

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