论文标题
混合特征中的仿射deligne-lusztig品种的等分
Equidimensionality of affine Deligne-Lusztig varieties in mixed characteristic
论文作者
论文摘要
我们证明了混合特征中仿射deligne-lusztig品种的等分。这验证了Rapoport做出的猜想，并暗示Nie和Zhou-Zhu的结果可以扩展到仿射deligne-lusztig品种的整个不可约组件。该方法是将hartl-viehmann的工作转化为混合特征，并为仿射deligne-lusztig品种构建局部叶子。这导致我们为完美方案开发了形式的代数几何学理论。
We prove the equidimensionality of affine Deligne-Lusztig varieties in mixed characteristic. This verifies a conjecture made by Rapoport and implies that the results of Nie and Zhou-Zhu can be extended to the whole irreducible components of affine Deligne-Lusztig varieties. The method is to translate the work of Hartl-Viehmann into mixed characteristic and construct local foliations for affine Deligne-Lusztig varieties. This leads us to develop a theory of formal algebraic geometry for perfect schemes.
