Minoration effective de la hauteur des points d'une courbe de $G\_m^2$ définie sur $Q$
| dc.creator | Pontreau, Corentin | |
| dc.date | 2005-09-08 | |
| dc.date.accessioned | 2026-07-07T05:23:04Z | |
| dc.date.available | 2026-07-07T05:23:04Z | |
| dc.description | We are concerned here with Lehmer's problem in dimension 2 ; we give a lower bound for the height of a non-torsion point of $G\_m^2$ on a non-torsion curve defined over $Q$, depending on the degree of the curve only. We have first been inspired by \cite{Am-Da3}; we develop a new approach, inherent in the dimension two (or more precisely the codimension two), and then obtain a better result where the error's term is improved significantly, moreover we give an explicit expression for the constant. | |
| dc.description | 28 pages à paraître dans Acta Arithmetica | |
| dc.identifier | https://arxiv.org/abs/math/0509190 | |
| dc.identifier | http://arxiv.org/abs/math/0509190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76296 | |
| dc.subject | Number Theory | |
| dc.subject | AMS 2000: 11G50, 11J81, 14G40 | |
| dc.title | Minoration effective de la hauteur des points d'une courbe de $G\_m^2$ définie sur $Q$ | |
| dc.type | text |