Email this article Uniformization of Simply-Connected Ramified Coverings of the Sphere by Rational Functions
- Authors: Nasyrov S.1
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Affiliations:
- N. I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 39, No 2 (2018)
- Pages: 252-258
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201550
- DOI: https://doi.org/10.1134/S1995080218020208
- ID: 201550
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Abstract
We deduce a systemofODEs describing behavior of critical points and poles of a smooth one-parametric family of rational functions uniformizing a given family of ramified coverings of the Riemann sphere.
About the authors
S. Nasyrov
N. I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: snasyrov@kpfu.ru
Russian Federation, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008
