Borne sur la torsion dans les variétés abéliennes de type C.M
| dc.creator | Ratazzi, Nicolas | |
| dc.date | 2005-02-09 | |
| dc.date | 2007-10-15 | |
| dc.date.accessioned | 2026-07-07T08:36:04Z | |
| dc.date.available | 2026-07-07T08:36:04Z | |
| dc.description | Let A be an abelian variety of dimension g defined over a number field K. We study the size of the torsion group A(F)_{tors} where F/K is a finite extension and more precisely we study the possible exponent γin the inequality Card(A(F)_{tors})<< [F:K]^γ when F is any extension of K. In the C.M. case we give an exact formula for the best possible exponent in terms of the characters of the Mumford-Tate group--a torus in this case--and discuss briefly the general case. Finally we give applications of this result in direction of a conjecture of Rémond generalising the Manin-Mumford conjecture. | |
| dc.description | 30 pages, final version, accepted for publication in Annales Scientifiques de l'Ecole Normale Superieure | |
| dc.identifier | https://arxiv.org/abs/math/0502185 | |
| dc.identifier | http://arxiv.org/abs/math/0502185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139949 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 1G10; 11G15; 14K15; 11F80 | |
| dc.title | Borne sur la torsion dans les variétés abéliennes de type C.M | |
| dc.type | text |