3 papers
math.DG2026
Reduction of Zieve's Conjecture on the Hurwitz problem to Three Branch Points
Xitaiyu Liu, Tianyang Sun, Bin Xu +2
M. E. Zieve conjectured that a candidate datum over the sphere is realizable whenever the gcd of the parts of every branch partition is one and it satisfies the lcm condition. We p…
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.CV2024
A note on Rational Maps with three branching points on the Riemann sphere
Zhiqiang Wei, Yingyi Wu, Bin Xu
Studying the existence of rational functions with given branching datum is a classical problem in the field of complex analysis and algebraic geometry. This problem dates back to H…