Genus 3 normal coverings of the Riemann sphere branched over 4 points. (English) Zbl 1131.14030

Fuertes, Yolanda; Streit, Manfred

Rev. Mat. Iberoam. 22, No. 2, 413-454 (2006).

From the authors’ abstract: In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non-hyperelliptic families.

Reviewer: Amilcar Pacheco (Rio de Janeiro)

MSC:

14H15	Families, moduli of curves (analytic)
14H45	Special algebraic curves and curves of low genus
14H55	Riemann surfaces; Weierstrass points; gap sequences
30F20	Classification theory of Riemann surfaces
30F35	Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)

Keywords:

moduli of algebraic curves with automorphisms; Weierstrass points

References:

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