A Lower Bound for the Canonical Height on Abelian Varieties over Abelian Extensions
| dc.creator | Baker, Matthew | |
| dc.creator | Silverman, Joseph | |
| dc.date | 2003-12-22 | |
| dc.date | 2004-04-12 | |
| dc.date.accessioned | 2026-07-07T05:04:05Z | |
| dc.date.available | 2026-07-07T05:04:05Z | |
| dc.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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0312393 | |
| dc.identifier | http://arxiv.org/abs/math/0312393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69669 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | A Lower Bound for the Canonical Height on Abelian Varieties over Abelian Extensions | |
| dc.type | text |