论文标题

关于准分类组的仿射deligne-lusztig品种的几何形状,具有非常特殊的堤防

On the geometry of affine Deligne-Lusztig varieties for quasi-split groups with very special leve

论文作者

Hamacher, Paul

论文摘要

在本文中,我们讨论了具有非常特殊级别结构的仿射deligne lusztig品种的几何形状,从而确定其尺寸以及连接和不可还原的组件。作为应用程序,我们证明了Shimura品种的Grothendieck猜想,其特殊水平为$ P $和功能场类似物。

In this paper we discuss the geometry of affine Deligne Lusztig varieties with very special level structure, determining their dimension and connected and irreducible components. As application, we prove the Grothendieck conjecture for Shimura varieties with very special level at $p$ and a function field analogue.

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