Approximation diophantienne sur une courbe elliptique
| dc.creator | Farhi, Bakir | |
| dc.date | 2006-03-12 | |
| dc.date | 2006-03-16 | |
| dc.date.accessioned | 2026-07-07T07:06:47Z | |
| dc.date.available | 2026-07-07T07:06:47Z | |
| dc.description | We present here quantitative versions in 1 dimension of Faltings'theorem according to which the set of the K-rational points (where K is a given number field) of an abelian variety A definied over K, which are close (with respect to a v-adic distance on K) to some K-subvariety X of A, but not belonging to X, is finite. We treat more exactly the case where A is an elliptic curve and X is reduced to a point of A and we give (in this case) explicit bounds for the cardinal of the exceptional finite set. We consider also, more generally, instead of only one place v of K, a finite set S of places of K and the distance from the point of A to X taking into account of all places of S. | |
| dc.description | 96 pages. Ce texte détaille la note au CRASS référencée: B. Farhi, Un analogue elliptique du théorème de Roth, C. R. Acad. Sci. Paris, Sér. I 341 (2005), p. 275-278 | |
| dc.identifier | https://arxiv.org/abs/math/0603278 | |
| dc.identifier | http://arxiv.org/abs/math/0603278 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110156 | |
| dc.subject | Number Theory | |
| dc.subject | Commutative Algebra | |
| dc.subject | 11J, 11K60 | |
| dc.title | Approximation diophantienne sur une courbe elliptique | |
| dc.type | text |