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Arithmetic height functions over finitely generated fields

Atsushi Moriwaki
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Abstract

In this paper, we propose a new height function for a variety defined over a finitely generated field over Q. For this height function, we will prove Northcott's theorem and Bogomolov's conjecture, so that we can recover the original Raynaud's theorem (Manin-Mumford's conjecture).

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Atsushi Moriwaki. 1999-06-01. Arithmetic height functions over finitely generated fields. https://arxiv.org/abs/math/9809016

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