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Geometric theory of meromorphic functions

Complex Variables 2022-08-12 v1

Abstract

This is a survey of results on the following problem. Consider a simply connected Riemann surface spread over the Riemann sphere. How are the properties of the uniformizing function of this surface related to the geometric properties of the surface? Based on the lecture in U. Michigan in May 2006.

Keywords

Cite

@article{arxiv.2110.07669,
  title  = {Geometric theory of meromorphic functions},
  author = {Alexandre Eremenko},
  journal= {arXiv preprint arXiv:2110.07669},
  year   = {2022}
}

Comments

18 pages