On a subvariety of the moduli space
ISSN: 0213-2230
Year of publication: 2004
Volume: 20
Issue: 3
Pages: 953-960
Type: Article
More publications in: Revista matemática iberoamericana
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.