4 papers
Combinatorics of Mirković-Vilonen cycles in twisted affine Grassmannians
Jiuzu Hong, Linhui Shen, Daping Weng
We investigate the explicit geometric and combinatorial structure of Mirković-Vilonen (MV) cycles in twisted affine Grassmannians associated with special parahoric group schemes. U…
Tangent spaces of spherical Schubert varieties and counterexamples to the reducedness conjecture
Marc Besson, Jiuzu Hong, Huanhuan Yu
Given a simply-connected simple algebraic group , we determine the tangent space of any Finkelberg-Mirković Schubert scheme at the base point of the affine Grassmannian of .…
A refinement of the coherence conjecture of Pappas and Rapoport
Jiuzu Hong, Huanhuan Yu
The coherence conjecture of Pappas and Rapoport, proved by Zhu, asserts the equality of dimensions for the global sections of a line bundle over a spherical Schubert variety in the…
Line bundles on the moduli stack of parahoric bundles
Chiara Damiolini, Jiuzu Hong, Shuo Gao
In this paper we investigate line bundles on the moduli stack of parahoric Bruhat--Tits bundles over a smooth projective curve. Translating this proble…