Crit\`ere d'irr\'eductibilit\'e pour les courbes elliptiques semi-stables sur un corps de nombres
Autor: | David, Agnès |
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Rok vydání: | 2012 |
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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 |
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