dc.contributor.author
Dieulefait, L. V. (Luis Victor)
dc.contributor.author
Gonzalez-Jimenez, Enrique
dc.contributor.author
Jimenez Urroz, Jorge
dc.date.issued
2016-03-18T09:37:47Z
dc.date.issued
2016-03-18T09:37:47Z
dc.date.issued
2016-03-18T09:37:53Z
dc.identifier
https://hdl.handle.net/2445/96600
dc.description.abstract
For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every prime $p$, we describe the image of the mod $ p$ Galois representation attached to $E$. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all cases where there are torsion points over Galois number fields not containing the field of definition of the CM.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
American Mathematical Society (AMS)
dc.relation
Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2010-10621-4
dc.relation
Proceedings of the American Mathematical Society, 2011, vol. 139, num. 6, p. 1961-1969
dc.relation
http://dx.doi.org/10.1090/S0002-9939-2010-10621-4
dc.rights
(c) American Mathematical Society (AMS), 2011
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Corbes el·líptiques
dc.subject
Teoria de Galois
dc.subject
Geometria algebraica aritmètica
dc.subject
Grups discontinus
dc.subject
Elliptic curves
dc.subject
Arithmetical algebraic geometry
dc.subject
Discontinuous groups
dc.title
On fields of definition of torsion points of elliptic curves with complex multiplication
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
