论文标题
仿射deligne-lusztig品种和由烟囱支配的折叠画廊
Affine Deligne-Lusztig varieties and folded galleries governed by chimneys
论文作者
论文摘要
我们表征了Aggine Deligne-lusztig品种的非空性和维度问题，$ x_x（b）$ x_x（b）$ affine Flag品种在相对于烟囱方面积极折叠的画廊。如果与B的牛顿点相关的抛物线亚组具有等级1，则我们通过明确构建此类画廊而证明了某些类别的iWahori-weyl组元素X的非空格。
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety $X_x(b)$ in the affine flag variety in terms of galleries that are positively folded with respect to a chimney. If the parabolic subgroup associated to the Newton point of b has rank 1, we then prove nonemptiness for a certain class of Iwahori-Weyl group elements x by explicitly constructing such galleries.
