Crit\`ere d'irr\'eductibilit\'e pour les courbes elliptiques semi-stables sur un corps de nombres

Autor: David, Agnès
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
Popis: For a fixed number field and an elliptic curve defined and semi-stable over this number field, we consider the set of prime numbers p such that the Galois representation attached to the p-torsion points of the elliptic curve is reducible. When the number field satisfies a certain necessary condition, we give an explicit bound, depending only on the number field and not on the semi-stable elliptic curve, for these primes. This generalizes previous results of Kraus.
Comment: 19 pages ; en fran\c{c}ais. arXiv admin note: text overlap with arXiv:1103.3892
Databáze: arXiv