Arithmetic height functions over finitely generated fields

Details Arithmetic height functions over finitely generated fields Arithmetic height functions over finitely generated fields

1998-09-04

arxiv.org/abs/math/9809016v2

Mathematics

Number Theory

35 or 36 pages, re-write several parts

Scientific paper

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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