3 papers
math.QA2026
Canonical bases of tensor products and positivity properties
Jiepeng Fang, Xuhua He
Let be a quantum group of symmetric type. We introduce the {\it thickening realization} to realize (a suitable approximation of) the tensor product ${^ÏÎ_{λ_1}}\oti…
math.AG2025
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{A…
math.AG2024
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…