On cyclic covers of the projective line |
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Authors: | Jannis A. Antoniadis Aristides Kontogeorgis |
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Affiliation: | 1. Department of Mathematics, University of Crete, 71409 Herakleion, Crete, Greece 2. Department of Mathematics, University of the ?gean, 83200 Karlovassi, Samos, Greece
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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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