On a subvariety of the moduli space
Francisco Javier Cirre
Source: Rev. Mat. Iberoamericana
Volume 20, Number 3
(2004), 953-960.
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.
Primary Subjects: 14H, 30F, 32G
Keywords: Riemann surface; moduli space; automorphism group
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rmi/1098885439
Mathematical Reviews number (MathSciNet):
MR2124493
Zentralblatt MATH identifier:
02156862
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