Revista Matemática Iberoamericana


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Volume 22, Issue 2, 2006, pp. 413–454
DOI: 10.4171/RMI/462

Published online: 2006-08-31

Genus 3 normal coverings of the Riemann sphere branched over 4 points

Yolanda Fuertes[1] and Manfred Streit[2]

(1) Universidad Autónoma de Madrid, Spain
(2) Oberursel, Germany

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.

Keywords: Moduli of algebraic curves with automorphisms, Weierstrass points, uniform Belyi functions

Fuertes Yolanda, Streit Manfred: Genus 3 normal coverings of the Riemann sphere branched over 4 points. Rev. Mat. Iberoamericana 22 (2006), 413-454. doi: 10.4171/RMI/462