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Seminar on Complex Analysis (Gonchar Seminar)
December 7, 2015 17:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


One-parametric families of compact Riemann surfaces over the Riemann sphere

S. R. Nasyrov

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University

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Abstract: We suggest a new method to find a polynomial uniformizing a given compact Riemann surface of genus 0. The method is in including the surface into a smooth one-parametric family of surfaces, similar to this one, and in deducing a system of ODE for critical points of the polynomials uniformizing the surfaces of the family. We also consider the case of genus one (complex tori).

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