Solutions to $\mathrm{SU}(n+1)$ 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…