On fields of definition of torsion points of elliptic curves with complex multiplication

Vista senzilla d'ítem
dc.contributor.authorDieulefait, L. V. (Luis Victor)
dc.contributor.authorGonzalez-Jimenez, Enrique
dc.contributor.authorJimenez Urroz, Jorge
dc.date.accessioned2016-03-18T09:37:47Z
dc.date.available2016-03-18T09:37:47Z
dc.date.issued2011-06
dc.date.updated2016-03-18T09:37:53Z
dc.description.abstractFor 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.extent9 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec587287
dc.identifier.issn0002-9939
dc.identifier.urihttps://hdl.handle.net/2445/96600
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isformatofReproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2010-10621-4
dc.relation.ispartofProceedings of the American Mathematical Society, 2011, vol. 139, num. 6, p. 1961-1969
dc.relation.urihttp://dx.doi.org/10.1090/S0002-9939-2010-10621-4
dc.rights(c) American Mathematical Society (AMS), 2011
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationCorbes el·líptiques
dc.subject.classificationTeoria de Galois
dc.subject.classificationGeometria algebraica aritmètica
dc.subject.classificationGrups discontinus
dc.subject.otherElliptic curves
dc.subject.otherGalois theory
dc.subject.otherArithmetical algebraic geometry
dc.subject.otherDiscontinuous groups
dc.titleOn fields of definition of torsion points of elliptic curves with complex multiplication
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

Fitxers

Paquet original

Mostrant 1 - 1 de 1
Miniatura
Nom:
587287.pdf
Mida:
445.59 KB
Format:
Adobe Portable Document Format
Descarregar

Col·leccions

Articles publicats en revistes (Matemàtiques i Informàtica)