Geodesic
EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 19-29

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DOI

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. 
IZQUIERDO, MILAGROS; YING, DANIEL. EQUISYMMETRIC STRATA OF THE MODULI SPACE OF CYCLIC TRIGONAL RIEMANN SURFACES OF GENUS 4. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 19-29. doi: 10.1017/S0017089508004497
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     title = {EQUISYMMETRIC {STRATA} {OF} {THE} {MODULI} {SPACE} {OF} {CYCLIC} {TRIGONAL} {RIEMANN} {SURFACES} {OF} {GENUS} 4},
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