Connected components of affine Deligne–Lusztig varieties in mixed characteristic
Connected components of affine Deligne–Lusztig varieties in mixed characteristic
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DOI：
10.1112/s0010437x15007253
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发表时间：
2013-07
影响因子：
1.8
通讯作者：
Miaofen Chen;M. Kisin;E. Viehmann
中科院分区：
文献类型：
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作者：
Miaofen Chen;M. Kisin;E. Viehmann
确定了非分歧连通约化群的超特殊极大紧子群的极小仿射Deligne-Lusztig簇的连通分支集。部分结果也得到了非极小闭仿射Deligne-Lusztig品种。我们考虑了函数域的情形及其在混合特征下的类似情形。特别地，我们确定了非分歧的Rapoport-Zink空间的连通分支集。
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.