CYCLIC COVERINGS OF THE PROJECTIVE LINE BY MUMFORD CURVES IN POSITIVE CHARACTERISTIC

摘要

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.