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

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.

arXiv comment20 pages, 2 figures, to appear in Kodai Mathematical Journal

References in corpus (1)

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