We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 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 whose full automorphism group is . This completes the list of full automorphism groups of hyperelliptic curves.
Cite this article
Francisco Javier Cirre, On a subvariety of the moduli space. Rev. Mat. Iberoam. 20 (2004), no. 3, pp. 953–960DOI 10.4171/RMI/411