Affine Deligne–Lusztig品种和由烟囱控制的折叠画廊

Pub Date : 2020-06-29 DOI:10.5802/aif.3578

E. Milicevic, Petra Schwer, Anne Thomas

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引用次数: 3

摘要

我们刻画了仿射标志簇中的仿射delign - lusztig簇$X_x(b)$的非空性和维数问题，并将其描述为相对于烟囱正折叠的通道。如果与b的Newton点相关联的抛物子群的秩为1，则通过显式构造该类Iwahori-Weyl群元素x的非空证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Affine Deligne–Lusztig varieties and folded galleries governed by chimneys

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.

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