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Planar Coverings of Closed Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Jiro Tamura
Jiro Tamura*
Affiliation:
University of Tokyo, Universidad Central de Venezuela
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Several years ago, K. Oikawa, my colleague, investigated the properties of Schottky coverings of closed Riemann surfaces, leaving an interesting problem as open [3]:

Does exist a Schottky covering between the basic surface and a given planar covering?

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 29 , March 1967 , pp. 243 - 257
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967

References

[1] Ahlfors-Sario, , Riemann Surfaces, Princeton, 1960.CrossRefGoogle Scholar
[2] Ford, , Automorphic Functions, 2nd ed., New York, 1951.Google Scholar
[3] Oikawa, , On Schottky Coverings, Shūgakuin Symposium of Function Theory, 1961. (in Japanese)Google Scholar
[4] Weyl, , Die Idee der Riemannschen Flächen, Leipzig, 1913.Google Scholar