On cyclic covers of the projective line

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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.
20 pages

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Algebraic Geometry, 14H37;14Dxx

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http://salesiana.dossiersoluciones.com/handle/123456789/111451

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604100
 http://arxiv.org/abs/math/0604100

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arXiv