论文标题

在Adelic曲线上的等分定理

Equidistribution theorem over an adelic curve

论文作者

Chen, Huayi, Moriwaki, Atsushi

论文摘要

在本文中,我们介绍了算术曲线上算术多样性的全球阿德式空间的概念,并证明了对一般亚变化序列的等均分布定理。作为一种应用,我们证明了在特征0的Adelic曲线上为Abelian品种的Bogomolov型定理。

In this article, we introduce the notion of global adelic space of an arithmetic variety over an adelic curve and prove an equidistribution theorem for a generic sequence of subvarieties. As an application, we prove a Bogomolov type theorem for Abelian varieties over an adelic curve of characteristic 0.

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