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 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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Oblatum 7-VI-1999 & 21-IX-1999 / Published online: 24 January 2000
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Moriwaki, A. Arithmetic height functions over finitely generated fields. Invent. math. 140, 101–142 (2000). https://doi.org/10.1007/s002220050358
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DOI: https://doi.org/10.1007/s002220050358