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EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4

Published online by Cambridge University Press:  01 January 2009

MILAGROS IZQUIERDO  and
DANIEL YING
MILAGROS IZQUIERDO
Affiliation:
Matematiska institutionen, Linköpings universitet, 581 83 Linköping, Sweden e-mail: miizq@mai.liu.se
DANIEL YING
Affiliation:
Matematiska institutionen, Linköpings universitet, 581 83 Linköping, Sweden e-mail: dayin@mai.liu.se
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Abstract

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A closed Riemann surface which can be realized as a three-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. If the trigonal morphism is a cyclic regular covering, the Riemann surface is called a cyclic trigonal Riemann surface. Using the characterization of cyclic trigonality by Fuchsian groups, we find the structure of the space of cyclic trigonal Riemann surfaces of genus 4.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 19 - 29
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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