JournalsrmiVol. 22, No. 2pp. 413–454

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

  • Yolanda Fuertes

    Universidad Autónoma de Madrid, Spain
  • Manfred Streit

    Oberursel, Germany
Genus 3 normal coverings of the Riemann sphere branched over 4 points cover
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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.

Cite this article

Yolanda Fuertes, Manfred Streit, Genus 3 normal coverings of the Riemann sphere branched over 4 points. Rev. Mat. Iberoam. 22 (2006), no. 2, pp. 413–454

DOI 10.4171/RMI/462