The universal Mumford curve, and its abelian differentials and periods in arithmetic formal geometry

2020/10/22 by Ichikawa, Takashi
#11G20 #14D15 #14H10 #14H15 #32G20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.11517

Abstract

We construct the universal Mumford curve of given genus as a family of Mumford curves over the deformation space of degenerate curves in the category of arithmetic formal geometry. Furthermore, we give explicit formulas of abelian differentials and their periods of the universal Mumford curve.

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