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On cyclic covers of the projective line

Antoniadis Jannis·Kontogeorgis Aristides
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Abstract

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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Antoniadis Jannis, Kontogeorgis Aristides. 2006-04-05. On cyclic covers of the projective line. https://arxiv.org/abs/math/0604100

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