论文标题
仿射deligne-lusztig品种的亲切元素和尺寸
Cordial elements and dimensions of affine Deligne-Lusztig varieties
论文作者
论文摘要
Aggine deligne-lusztig品种$ x_w（b）affine flag y Mathbb g $的Aggine Flag品种中的品种取决于两个参数：$σ$ -conjugacy类$ [b] $和iwahori-weyl Group $ \ tilde $ \ tilde w $ $ \ tilde w $ $ \ tilde w $ of $ \ mathbb g $。在本文中，对于任何给定的$σ$ -conjugacy类$ [b] $，我们确定了$ x_w（b）$的非空格模式和尺寸公式。
The affine Deligne-Lusztig variety $X_w(b)$ in the affine flag variety of a reductive group $\mathbb G$ depends on two parameters: the $σ$-conjugacy class $[b]$ and the element $w$ in the Iwahori-Weyl group $\tilde W$ of $\mathbb G$. In this paper, for any given $σ$-conjugacy class $[b]$, we determine the nonemptiness pattern and the dimension formula of $X_w(b)$ for most $w \in \tilde W$.
