Affine Deligne–Lusztig品种和由烟囱控制的折叠画廊

IF 0.8 4区数学 Q2 MATHEMATICS Annales De L Institut Fourier 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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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.