dc.contributor.author |
Bars Cortina, Francesc |
dc.contributor.author |
Dieulefait, Luis |
dc.date |
2006 |
dc.identifier |
https://ddd.uab.cat/record/240656 |
dc.identifier |
urn:10.1007/s00209-006-0956-4 |
dc.identifier |
urn:oai:ddd.uab.cat:240656 |
dc.identifier |
urn:scopus_id:33748548437 |
dc.identifier |
urn:articleid:14321823v254n3p531 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/08b1980b-4876-45b8-874b-0e4f32338494 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Ciencia y Tecnología BFM2003-06092 |
dc.relation |
Mathematische Zeitschrift ; Vol. 254, Issue 3 (November 2006), art. 531 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.title |
Galois actions on Q-curves and winding quotients |
dc.type |
Article |
dc.description.abstract |
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 ≠ 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 dD, 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 † 6 and that d is square free. |