Uniformization of simply connected ramified coverings of the sphere by rational functions


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Abstract

We deduce a system of ODEs describing the 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. R. Nasyrov

Kazan Federal University

Author for correspondence.
Email: snasyrov@kpfu.ru
Russian Federation, Kazan, 420008

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