On a subvariety of the moduli space.

Cirre, Francisco Javier. "On a subvariety of the moduli space.." Revista Matemática Iberoamericana 20.3 (2004): 953-960. <http://eudml.org/doc/39725>.

@article{Cirre2004,
abstract = {We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 3 characterized by a non-cyclic group action. Defining equations of a family of curves representing non-normal points of this subvariety are computed. We also find defining equations of the family of hyperelliptic curves of genus 3 whose full automorphism group is C2 X C4. This completes the list of full automorphism groups of hyperelliptic curves.},
author = {Cirre, Francisco Javier},
journal = {Revista Matemática Iberoamericana},
keywords = {Superficies Riemann; Espacio de moduli; Grupos de automorfismos; moduli space; automorphism groups; hyperelliptic curves},
language = {eng},
number = {3},
pages = {953-960},
title = {On a subvariety of the moduli space.},
url = {http://eudml.org/doc/39725},
volume = {20},
year = {2004},
}

TY - JOUR
AU - Cirre, Francisco Javier
TI - On a subvariety of the moduli space.
JO - Revista Matemática Iberoamericana
PY - 2004
VL - 20
IS - 3
SP - 953
EP - 960
AB - We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 3 characterized by a non-cyclic group action. Defining equations of a family of curves representing non-normal points of this subvariety are computed. We also find defining equations of the family of hyperelliptic curves of genus 3 whose full automorphism group is C2 X C4. This completes the list of full automorphism groups of hyperelliptic curves.
LA - eng
KW - Superficies Riemann; Espacio de moduli; Grupos de automorfismos; moduli space; automorphism groups; hyperelliptic curves
UR - http://eudml.org/doc/39725
ER -