On cyclic covers of the projective line

Details On cyclic covers of the projective line On cyclic covers of the projective line

2006-04-05

arxiv.org/abs/math/0604100v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

We construct configuration spaces for cyclic covers of the projective line
that admit extra automorphisms and we describe the locus of curves with given
automorphism group. As an application we provide examples of arbitrary high
genus that are defined over their field of moduli and are not hyperelliptic.

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