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

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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… Click to show full 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.

Keywords: projective line; coverings projective; line mumford; cyclic coverings; line; positive characteristic

Journal Title: Kodai Mathematical Journal
Year Published: 2018

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