Realizability of Certain Rational Maps with Three Branch Points

Zhiqiang Wei

Realizability of Certain Rational Maps with Three Branch Points

Dynamical Systems 2026-07-01 v1 Differential Geometry

Authors: Zhiqiang Wei

Abstract

This paper investigates the Hurwitz existence problem for rational maps with three branch points. We establish several new families of realizable branch data and identify previously undocumented exceptional data. This work constitutes the second part of our systematic investigation of the Hurwitz problem, extending our earlier results obtained through the football decomposition method.

Cite

@article{arxiv.2607.00818,
  title  = {Realizability of Certain Rational Maps with Three Branch Points},
  author = {Zhiqiang Wei},
  journal= {arXiv preprint arXiv:2607.00818},
  year   = {2026}
}

Comments

22 pages, 7 figures