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arXiv · 2005.09799

Dimension formula of the affine Deligne-Lusztig variety $X(μ, b)$

Xuhua He·Qingchao Yu
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Abstract

The study of certain union $X(μ, b)$ of affine Deligne-Lusztig varieties in the affine flag varieties arose from the study of Shimura varieties with Iwahori level structure. In this paper, we give an explicit formula of $\dim X(μ, b)$ for sufficiently large dominant coweight $μ$.

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Xuhua He, Qingchao Yu. 2020-05-20. Dimension formula of the affine Deligne-Lusztig variety $X(μ, b)$. https://arxiv.org/abs/2005.09799

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