Galois actions on Q-curves and Winding Quotients
| dc.creator | Bars, Francesc | |
| dc.creator | Dieulefait, Luis | |
| dc.date | 2003-12-02 | |
| dc.date.accessioned | 2026-07-07T05:03:28Z | |
| dc.date.available | 2026-07-07T05:03:28Z | |
| dc.description | We prove two "large images" results for the Galois representations attached to a degree $d$ Q-curve $E$ over a quadratic field $K$: if $K$ is arbitrary, we prove maximality of the image for every prime $p >13$ not dividing $d$, provided that $d$ is divisible by $q$ (but $d \neq q$) with $q=2$ or 3 or 5 or 7 or 13. If $K$ is real we prove maximality of the image for every odd prime $p$ not dividing $d D$, where $D = \disc(K)$, provided that $E$ is a semistable Q-curve. In both cases we make the (standard) assumptions that $E$ does not have potentially good reduction at all primes $p \nmid 6$ and that $d$ is square-free. | |
| dc.identifier | https://arxiv.org/abs/math/0312049 | |
| dc.identifier | http://arxiv.org/abs/math/0312049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69429 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F80; 11G05; 11G18 | |
| dc.title | Galois actions on Q-curves and Winding Quotients | |
| dc.type | text |