Existence of non-elliptic mod l Galois representations for every l >5
| dc.creator | Dieulefait, Luis | |
| dc.date | 2004-04-02 | |
| dc.date.accessioned | 2026-07-07T05:07:00Z | |
| dc.date.available | 2026-07-07T05:07:00Z | |
| dc.description | For $\ell = 3$ and 5 it is known that every odd, irreducible, 2-dimensional representation of $\Gal(\bar{\Q}/\Q)$ with values in $\F_\ell$ and determinant equal to the cyclotomic character must "come from" the $\ell$-torsion points of an elliptic curve defined over $\Q$. We prove, by giving concrete counter-examples, that this result is false for every prime $\ell >5$. | |
| dc.identifier | https://arxiv.org/abs/math/0404025 | |
| dc.identifier | http://arxiv.org/abs/math/0404025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70687 | |
| dc.subject | Number Theory | |
| dc.title | Existence of non-elliptic mod l Galois representations for every l >5 | |
| dc.type | text |