Connected components of affine Deligne–Lusztig varieties in mixed characteristic
2015 ◽
Vol 151
(9)
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pp. 1697-1762
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Keyword(s):
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.
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1997 ◽
Vol 75
(2)
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pp. 308-322
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1991 ◽
Vol 76
(1-2)
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pp. 113-128
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2017 ◽
Vol 164
(3)
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pp. 551-572
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2006 ◽
Vol 142
(03)
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pp. 563-615
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