Densité de points et minoration de hauteur
| dc.creator | Ratazzi, Nicolas | |
| dc.date | 2003-04-03 | |
| dc.date | 2004-01-02 | |
| dc.date.accessioned | 2026-07-07T04:56:36Z | |
| dc.date.available | 2026-07-07T04:56:36Z | |
| dc.description | We obtain a lower bound for the normalised height of a non-torsion subvariety $V$ of a C.M. abelian variety. This lower bound is optimal in terms of the geometric degree of $V$, up to a power of a ``log''. We thus extend the results of F. Amoroso and S. David on the same problem on a multiplicative group $\mathbb{G}_m^n$. We prove furthermore that the optimal lower bound (conjectured by S. David and P. Philippon) is a corollary of the conjecture of S. David and M. Hindry on the abelian Lehmer's problem. We deduce these results from a density theorem on the non-torsion points of $V$. | |
| dc.description | 15 pages, proof of lemme 3 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0304046 | |
| dc.identifier | http://arxiv.org/abs/math/0304046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66977 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G50; 11J86; 14G40; 14K12; 14K22 | |
| dc.title | Densité de points et minoration de hauteur | |
| dc.type | text |