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On the generalized Teichmüller spaces and differential equations

Published online by Cambridge University Press:  22 January 2016

Akikazu Kuribayashi
Akikazu Kuribayashi*
Affiliation:
Department of Mathematics Faculty of Science and Engineering, Chuo University
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It is well known that for the family F of Riemann surfaces {R(z)} defined by the equations y2 = x(x — l)(x — z), zεC — {0,1}, we have one independent abelian differential ω = y−1dx on each R(z) and if we consider z as a parameter on C — {0,1}, the integrals are solutions of the Gauss’s differential equation

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 64 , December 1976 , pp. 97 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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