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arXiv · 2212.06670

On the dimension of some union of affine Deligne-Lusztig varieties

Arghya Sadhukhan
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Abstract

In this paper, we consider certain union $X(\mu,b)$ of affine Deligne-Lusztig varieties in the affine flag variety that arises in the study of mod-$p$ reduction of Rapoport-Zink spaces and moduli spaces of shtukas associated to a connected reductive group. Under a mild hypothesis on $\mu$, but no further restrictions on the group, we compute its dimension in the case where $b$ is the maximal neutrally acceptable element.

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BibTeXRIS

Arghya Sadhukhan. 2022-12-13. On the dimension of some union of affine Deligne-Lusztig varieties. https://arxiv.org/abs/2212.06670

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