Arithmetic height functions over finitely generated fields

  title={Arithmetic height functions over finitely generated fields},
  author={Atsushi Moriwaki},
  journal={Inventiones mathematicae},
  • A. Moriwaki
  • Published 4 September 1998
  • Mathematics
  • Inventiones mathematicae
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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