On the Group of Automorphisms of Cyclic Covers of the Riemann Sphere

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This note uses some recent calculations of Conder and Bujalance (on classifying finite index group extensions of Fuchsian groups with abelian quotient and torsion free kernel) in order to determine the full automorphism groups of some cylic coverings of the line (including curves of Fermat and Lefschetz type). The answer is complete for cyclic covers that branch over three points.
23 pages, 1 figure

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Algebraic Geometry, Group Theory, 14H37,14H45

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http://salesiana.dossiersoluciones.com/handle/123456789/68743

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310053
 http://arxiv.org/abs/math/0310053

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arXiv