5 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…
Thickening realization and positivity properties of canonical bases
Jiepeng Fang, Xuhua He
Let be a quantum group associated with a symmetric Cartan datum, let be its modified form, and let be the canonical basis of $\do…
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 ${^ωΛ_{λ_1}}\otimes…
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…