Abstract
We study the rigid analytic geometry of cyclic coverings of the projective line. We determine the defining equation of cyclic coverings of degree $p$ of the projective line by Mumford curves over complete discrete valuation fields of positive characteristic $p$. Previously, Bradley studied that of any degree over non-archimedean local fields of characteristic zero.
Citation
Ryota Mikami. "Cyclic coverings of the projective line by Mumford curves in positive characteristic." Kodai Math. J. 41 (2) 240 - 263, June 2018. https://doi.org/10.2996/kmj/1530496835