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arXiv · 1612.01077

Cyclic coverings of the projective line by Mumford curves in positive characteristic

Ryota Mikami
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Abstract

We study the rigid analytic geometry of cyclic coverings of the projective line. We determine the defining equation of a cyclic covering of degree $p$ of the projective line by a Mumford curve over a complete discrete valuation field of positive characteristic $p$. Previously, Bradley studied that of any degree over a non-archimedean local field of characteristic zero.

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Ryota Mikami. 2016-12-04. Cyclic coverings of the projective line by Mumford curves in positive characteristic. https://arxiv.org/abs/1612.01077

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