论文标题
在一些简单的仿射deligne-lusztig品种的几何结构上,$ gl_n $
On some simple geometric structure of affine Deligne-Lusztig varieties for $GL_n$
论文作者
论文摘要
在本文中,我们研究了$ gl_n $和$ b $ basic的Aggine deligne-lusztig品种的几何结构。我们引入了$λ$的新条件。如果满足了这一点,则相应的仿射deligne-lusztig品种是经典deligne-lusztig品种的脱节结合时间。
In this paper we study the geometric structure of affine Deligne-Lusztig varieties for $GL_n$ and $b$ basic. We introduce a new condition on $λ$. If this is satisfied, then the corresponding affine Deligne-Lusztig variety is the disjoint union of classical Deligne-Lusztig varieties times finite-dimensional affine spaces.