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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 8, Pages 42–52 (Mi ivm9267)  
This article is cited in 5 scientific papers (total in 5 papers)

Uniformization of one-parametric families of complex tori

S. R. Nasyrov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (211 kB) Citations (5)
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Abstract: We suggest an approximate method to find an elliptic function uniformizing 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.
Keywords: Riemann surface, complex torus, ramified covering, elliptic function, uniformization, one-parametric families of meromorphic functions.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00282_а
Received: 07.04.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 8, Pages 36–45
DOI: https://doi.org/10.3103/S1066369X17080047
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. R. Nasyrov, “Uniformization of one-parametric families of complex tori”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 8, 42–52; Russian Math. (Iz. VUZ), 61:8 (2017), 36–45
Citation in format AMSBIB
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\issue 8
\pages 36--45
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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