论文标题

通用的芒福德曲线及其算术形式几何形状中的阿贝利亚差异和时期

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

论文作者

Ichikawa, Takashi

论文摘要

我们在算术形式几何形状的类别中,在变性曲线的变形空间上构建了给定属的通用芒福德曲线。此外,我们给出了Abelian差异及其环球曲线时期的明确公式。

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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