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 $C_2\times C_4$. This completes the list of full automorphism groups of hyperelliptic curves.
Citation
Francisco Javier Cirre. "On a subvariety of the moduli space." Rev. Mat. Iberoamericana 20 (3) 953 - 960, October, 2004.
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