3 papers
math-ph2025
Solution to SU(n+1) Toda system generated by spherical metrics
Yiqian Shi, Chunhui Wei, Bin Xu
Using the correspondence between solutions to the SU(n+1) Toda system on a Riemann surface and totally unramified unitary curves, we show that a spherical metric generates a fa…
math.DG2024
Solutions to Toda system with cone singularities via toric curves on compact Riemann surfaces
Jingyu Mu, Yiqian Shi, Bin Xu
On a compact Riemann surface (X) with finite punctures (P_1, \ldots, P_k), we define toric curves as multi-valued, totally unramified holomorphic maps to (\mathbb{P}^n) with monodr…
math.DG2023
The space of germs of extremal K\" ahler metrics in one dimension comprises three distinct components
Qing Chen, Yiqian Shi, Bin Xu
In the 1980s, Eugenio Calabi introduced the concept of {\it extremal K\" ahler metrics} as critical points of the -norm functional of scalar curvature in the space of K\" ahle…