Uniformization of one-parametric families of complex tori |
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Authors: | S R Nasyrov |
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Institution: | 1.Kazan Federal University,Kazan,Russia |
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Abstract: | We suggest an approximate method to find an elliptic function uniformizing a compact Riemann surface of genus 1 which is given as a ramified covering of the Riemann sphere. The method is based on including the surface into a smooth one-parametric family. We deduce a system of ordinary differential equations for critical points of elliptic functions uniformizing surfaces of the family. |
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