Equidistribution theorem over an adelic curve

Huayi Chen; Atsushi Moriwaki

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arXiv · 2209.11365

Equidistribution theorem over an adelic curve

Huayi Chen·Atsushi Moriwaki

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Abstract

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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Huayi Chen, Atsushi Moriwaki. 2022-09-23. Equidistribution theorem over an adelic curve. https://arxiv.org/abs/2209.11365

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