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The existence of symmetric Riemann surfaces determined by cyclic groups

Published online by Cambridge University Press:  22 January 2016

Gou Nakamura
Gou Nakamura*
Affiliation:
Graduate School of Human Informatics, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan, [email protected]
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Let n > 1, m ≥ 1, g ≥ 3 and γ be given integers. The purpose of this paper is to determine the relations of n, m, g and γ for the existence of the symmetric Riemann surfaces S of type (n, m) with genus g and species γ. If n is an odd prime, the relations are known in [3]. In the case that n is odd, we shall show the analogous result when E(S) is isomorphic to a cyclic group Z2n and when the quotient space S/E(S) is orientable.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 151 , September 1998 , pp. 129 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

References

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