3 citations · 3 across the 8 of their papers we have counts for
9 papers
Uniform Green packing on compact Riemann surfaces
Haakan Hedenmalm, Song-Yan Xie
We extend the packing results of Etayo, Hedenmalm, and Ortega-Cerda for complex tori to arbitrary compact Riemann surfaces. The construction uses two different approaches, one base…
On the Face Map of the Admissible Set With Iwahori Level
Qingchao Yu
To each face of the coweight polytope , we associate a subset of the -admissible set , which we refer t…
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…
Affine Deligne--Lusztig varieties with finite Coxeter parts
Xuhua He, Sian Nie, Qingchao Yu
In this paper, we study affine Deligne--Lusztig varieties when the finite part of the element in the Iwahori--Weyl group is a partial -Coxeter element. We show that…
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…