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On cyclic covers of the projective line

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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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Authors and Affiliations

  1. Department of Mathematics, University of Crete, 71409 Herakleion, Crete, Greece

    Jannis A. Antoniadis

  2. Department of Mathematics, University of the Ægean, 83200 Karlovassi, Samos, Greece

    Aristides Kontogeorgis

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  1. Jannis A. Antoniadis
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  2. Aristides Kontogeorgis
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Correspondence to Jannis A. Antoniadis.

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Antoniadis, J.A., Kontogeorgis, A. On cyclic covers of the projective line. manuscripta math. 121, 105–130 (2006). https://doi.org/10.1007/s00229-006-0028-4

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  • DOI: https://doi.org/10.1007/s00229-006-0028-4

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