Eprint already available on another site (E-prints, Working papers and Research blog)
Critère d'irréductibilité pour les courbes elliptiques semi-stables sur un corps de nombres
David, Agnès
2012
 

Files


Full Text
1202.1649v1.pdf
Author preprint (268.71 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Mathematics - Number Theory; 11G05; 11G15; 11F80
Abstract :
[en] For a fixed number field and an elliptic curve defined and semistable 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 semistable elliptic curve, for these primes. This generalizes previous results of Kraus.
Disciplines :
Mathematics
Author, co-author :
David, Agnès ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
French
Title :
Critère d'irréductibilité pour les courbes elliptiques semi-stables sur un corps de nombres
Alternative titles :
[en] Irreducibility criterion for semistable elliptic curves over a number field
Publication date :
08 February 2012
Number of pages :
19
Available on ORBilu :
since 20 November 2013

Statistics


Number of views
49 (1 by Unilu)
Number of downloads
34 (0 by Unilu)

Bibliography


Similar publications



Contact ORBilu