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.
Publié le : 2006-09-14
Classification:
moduli of algebraic curves with automorphisms,
Weierstrass points,
uniform Belyi functions,
14H15,
14H45,
14H55
@article{1161871344,
author = {Fuertes
,
Yolanda and Streit
,
Manfred},
title = {Genus 3 normal coverings of the Riemann sphere branched over 4 points},
journal = {Rev. Mat. Iberoamericana},
volume = {22},
number = {2},
year = {2006},
pages = { 413-454},
language = {en},
url = {http://dml.mathdoc.fr/item/1161871344}
}
Fuertes
,
Yolanda; Streit
,
Manfred. Genus 3 normal coverings of the Riemann sphere branched over 4 points. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp. 413-454. http://gdmltest.u-ga.fr/item/1161871344/