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Uniformization of Simply-Connected Ramified Coverings of the Sphere by Rational Functions


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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

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