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

摘要

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