论文标题

关于Aggine Deligne-lusztig品种的某个结合的维度

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

论文作者

Sadhukhan, Arghya

论文摘要

在本文中,我们考虑了某些联合$ x(μ,b)$ offine deligne-lusztig品种的仿射标志品种,这些品种是在与与连接的还原组相关的shtukas的mod- $ p $降低的研究中出现的。在$μ$上的轻度假设下,但对该组没有进一步的限制,我们计算其尺寸,如果$ b $是最大的中性可接受的元素。

In this paper, we consider certain union $X(μ,b)$ 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 $μ$, 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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