On a subvariety of the moduli space
ISSN: 0213-2230
Datum der Publikation: 2004
Ausgabe: 20
Nummer: 3
Seiten: 953-960
Art: Artikel
Andere Publikationen in: Revista matemática iberoamericana
Zusammenfassung
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.