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arXiv · 0707.2467

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

Patrick Erik Bradley
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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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Patrick Erik Bradley. 2007-07-17. Cyclic coverings of the $p$-adic projective line by Mumford curves. https://doi.org/10.1007/s00229-007-0120-4

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