On a subvariety of the moduli space

• Autores: Francisco Javier Cirre
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 20, Nº 3, 2004, págs. 953-960
• Idioma: inglés
• DOI: 10.4171/rmi/411
• Títulos paralelos:
  • Sobre una subvariedad del espacio de moduli.
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• Resumen

  • 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.