Arithmetic height functions over finitely generated fields
Abstract
Description
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).
35 or 36 pages, re-write several parts
35 or 36 pages, re-write several parts