3 citations · 3 across the 8 of their papers we have counts for
6 papers · 1 filter
Dual Shellability of Admissible Set and Cohen-Macaulayness of Local Models
Xuhua He, Qingchao Yu
We prove Görtz's combinatorial conjecture \cite{Go01} on dual shellability of admissible sets in Iwahori-Weyl groups, proving that the augmented admissible set $\widehat{\mathrm{Ad…
Irreducibility of Local Models
Xuhua He, Qingchao Yu
In this paper, we consider the geometric special fibers of local models of Shimura varieties and of moduli of $\bG$-Shtukas with parahoric level structure. We investigate two probl…
Zero-dimensional affine Deligne--Lusztig varieties
Xuhua He, Sian Nie, Qingchao Yu
In this paper, we study the affine Deligne--Lusztig variety and classify all quadruples with . This question was first asked by…
Affine Deligne-Lusztig Varieties of Positive Coxeter Type
Felix Schremmer, Ryosuke Shimada, Qingchao Yu
We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine Deligne--Lusztig varieties of positive Coxeter type have a…
Machine learning assisted exploration for affine Deligne-Lusztig varieties
Bin Dong, Xuhua He, Pengfei Jin +2
This paper presents a novel, interdisciplinary study that leverages a Machine Learning (ML) assisted framework to explore the geometry of affine Deligne-Lusztig varieties (ADLV). T…
Dimension formula of the affine Deligne-Lusztig variety
Xuhua He, Qingchao Yu
The study of certain union of affine Deligne-Lusztig varieties in the affine flag varieties arose from the study of Shimura varieties with Iwahori level structure. In thi…