2 papers
math.AG2026
Total Cohomology of Hilbert schemes of Orbisurfaces I: Reduction to Stacky Loci
Shuo Gao
We generalize Nakajima's theory of Hilbert schemes of points on surfaces to Hilbert schemes of points on \textit{orbisurfaces}, and obtain initial factorization based on stratifica…
math.AG2024
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…