Equidistribution theorem over an adelic curve
Number Theory
2022-09-26 v1 Algebraic Geometry
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.
Cite
@article{arxiv.2209.11365,
title = {Equidistribution theorem over an adelic curve},
author = {Huayi Chen and Atsushi Moriwaki},
journal= {arXiv preprint arXiv:2209.11365},
year = {2022}
}
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26 pages