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Cyclic coverings of the p-adic projective line by Mumford curves

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Abstract

Exact bounds for the positions of the branch points for cyclic coverings of the p-adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Kato’s *-trees, and secondly by giving explicit matrix representations of the Schottky groups corresponding to the Mumford curves above the projective line through combinatorial group theory.

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  1. Universität Karlsruhe, Institut für Industrielle Bauproduktion, Englerstr. 7, 76128, Karlsruhe, Germany

    Patrick Erik Bradley

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  1. Patrick Erik Bradley
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Bradley, P.E. Cyclic coverings of the p-adic projective line by Mumford curves. manuscripta math. 124, 77–95 (2007). https://doi.org/10.1007/s00229-007-0120-4

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  • DOI: https://doi.org/10.1007/s00229-007-0120-4

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