Connected components of affine Deligne–Lusztig varieties in mixed characteristic

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Connected components of affine Deligne–Lusztig varieties in mixed characteristic

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Title: Connected components of affine Deligne–Lusztig varieties in mixed characteristic
Author: Chen, Miaofen; Kisin, Mark; Viehmann, Eva

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Citation: Chen, Miaofen, Kisin,Mark, Viehmann, Eva. 2015. Connected components of affine Deligne-Lusztig varieties in mixed characteristic. Compositio Math. 151, no. 9: 1697–1762.
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Abstract: We determine the set of connected components of minuscule affine Deligne–Lusztig varieties for hyperspecial 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.
Published Version: doi:10.1112/S0010437X15007253
Other Sources: https://arxiv.org/abs/1307.3845
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:30367435
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