English

On critical points of proper holomorphic maps on the unit disk

Dynamical Systems 2008-02-03 v1 Complex Variables

Abstract

We prove that a proper holomorphic map on the unit disk in the complex plane is uniquely determined up to post-composition with a Moebius transformation by its critical points.

Keywords

Cite

@article{arxiv.math/9606221,
  title  = {On critical points of proper holomorphic maps on the unit disk},
  author = {Saeed Zakeri},
  journal= {arXiv preprint arXiv:math/9606221},
  year   = {2008}
}
R2 v1 2026-07-22T17:56:15.656Z