Yiqian Shi

collaborators

4 papers

math.GR2025

The Hurwitz existence problem and the prime-degree conjecture: A computational perspective

Yiru Wang, Bingqian Li, Yi Zhou +4

We investigate the Hurwitz existence problem from a computational viewpoint. Leveraging the symmetric-group algorithm by Zheng and building upon implementations originally develope…

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 $I ¨ $ generates a f…

math.AP2024

Classifying solutions of $SU (n + 1)$ Toda system around a singular source

Jingyu Mu, Yiqian Shi, Tianyang Sun +1

Consider a positive integer $n$ and $I^_{1}^{3} > - 1, \dots, I^_{n}^{3} > - 1$ . Let $D = {z \in C : ∣ z ∣ < 1}$ , and let $(a_{ij})_{n \times n}$ denote the Cartan matrix of $su (n + 1)$ . Utilizin…

math.DG2024

Solutions to $SU (n + 1)$ 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…

The Hurwitz existence problem and the prime-degree conjecture: A computational perspective

Solution to SU(n+1) Toda system generated by spherical metrics

Classifying solutions of SU(n+1) Toda system around a singular source

Solutions to SU(n+1) Toda system with cone singularities via toric curves on compact Riemann surfaces

Classifying solutions of $SU (n + 1)$ Toda system around a singular source

Solutions to $SU (n + 1)$ Toda system with cone singularities via toric curves on compact Riemann surfaces