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

Yolanda Fuertes; Manfred Streit

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 2, page 413-454
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Fuertes, Yolanda, and Streit, Manfred. "Genus 3 normal coverings of the Riemann sphere branched over 4 points.." Revista Matemática Iberoamericana 22.2 (2006): 413-454. <http://eudml.org/doc/41979>.

@article{Fuertes2006,
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.},
author = {Fuertes, Yolanda, Streit, Manfred},
journal = {Revista Matemática Iberoamericana},
keywords = {Curvas algebraicas; Superficies Riemann; Espacio de moduli; moduli of algebraic curves with automorphisms; Weierstrass points},
language = {eng},
number = {2},
pages = {413-454},
title = {Genus 3 normal coverings of the Riemann sphere branched over 4 points.},
url = {http://eudml.org/doc/41979},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Fuertes, Yolanda
AU - Streit, Manfred
TI - Genus 3 normal coverings of the Riemann sphere branched over 4 points.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 2
SP - 413
EP - 454
AB - 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.
LA - eng
KW - Curvas algebraicas; Superficies Riemann; Espacio de moduli; moduli of algebraic curves with automorphisms; Weierstrass points
UR - http://eudml.org/doc/41979
ER -

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