Connected Components of Affine Deligne-lusztig Varieties in Mixed Characteristic

نویسندگان

  • MIAOFEN CHEN
  • MARK KISIN
چکیده

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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تاریخ انتشار 2013