A Lower Bound for the Canonical Height on Abelian Varieties over Abelian Extensions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let A be an abelian variety defined over a number field K, and consider the canonical height function attached to a symmetric ample line bundle L on A. We prove that there is a positive lower bound C (depending on A, K, and L) for the canonical height of non-torsion points on A defined over the maximal abelian extension K^ab of K.
v2 (23 pages), to appear in Mathematical Research Letters. Revised statement and proof of Proposition 7.3, added Lemma 7.9. Some other small revisions made as well

Keywords

Number Theory, Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69669

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312393
 http://arxiv.org/abs/math/0312393

Collections

arXiv