9 citations · 19 across the 9 of their papers we have counts for
10 papers
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Let be a prime. We prove that every compatible branch datum of degree over the sphere is realizable by a connected branched cover. The three-point case is constructed in re…
Zariski-Dense Monodromy of Singular Hyperbolic Metrics on Non-Hyperbolic Riemann Surfaces
Yu Feng, Yiqian Shi, Jijian Song +1
We prove that the monodromy group of every singular hyperbolic metric on a non-hyperbolic Riemann surface, in the sense of potential theory, is Zariski dense in ${\rm PSL}(2,\mathb…
Existence and non-uniqueness of cone spherical metrics with prescribed singularities on a compact Riemann surface with positive genus
Yu Feng, Jijian Song, Bin Xu
Cone spherical metrics, defined on compact Riemann surfaces, are conformal metrics with constant curvature one and finitely many cone singularities. Such a metric is termed \textit…
A note on the Hurwitz problem and cone spherical metrics
Jijian Song, Bin Xu, Yu Ye
We are motivated by cone spherical metrics on compact Riemann surfaces of positive genus to solve a special case of the Hurwitz problem. Precisely speaking, letting and $\e…
Singular hyperbolic metrics and negative subharmonic functions
Yu Feng, Yiqian Shi, Jijian Song +1
We propose a conjecture that the monodromy group of a singular hyperbolic metric on a non-hyperbolic Riemann surface is {\it Zariski dense} in . By using m…
Irreducible cone spherical metrics and stable extensions of two line bundles
Lingguang Li, Jijian Song, Bin Xu
A cone spherical metric is called irreducible if any developing map of the metric does not have monodromy in . By using the theory of indigenous bundles, we construct o…
Constructing Strebel differentials via Belyi maps on the Riemann sphere
Jijian Song, Bin Xu
In this manuscript, by using Belyi maps and dessin d'enfants, we construct some concrete examples of Strebel differentials with four double poles on the Riemann sphere. As an appli…
Cone spherical metrics and stable vector bundles
Lingguang Li, Jijian Song, Bin Xu
Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. A cone spherical metric is called irre…
Drawing cone spherical metrics via Strebel differentials
Jijian Song, Yiran Cheng, Bo Li +1
Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a br…
On rational functions with more than three branch points
Jijian Song, Bin Xu
Let be a collection of partitions of a positive integer of the form where $(m_1,\…