dc.creator | González Jiménez, Enrique | es |
dc.creator | Tornero Sánchez, José María | es |
dc.date.accessioned | 2016-10-07T09:31:21Z | |
dc.date.available | 2016-10-07T09:31:21Z | |
dc.date.issued | 2016-03 | |
dc.identifier.citation | González Jiménez, E. y Tornero Sánchez, J.M. (2016). Torsion of rational elliptic curves over quadratic fields II. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 110 (1), 121-143. | |
dc.identifier.issn | 1578-7303 | es |
dc.identifier.issn | 1579-1505 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47168 | |
dc.description.abstract | Let E be an elliptic curve defined over Q and let G=E(Q)_tors be the associated torsion group. In a previous paper, the authors studied, for a given G, which possible groups G\leq H could appear such that H=E(K)_tors, for [K:Q]=2. In the present paper, we go further in this study and compute, under this assumption and for every such G, all the possible situations where G\neq H. The result is optimal, as we also display examples for every situation we state as possible. As a consequence, the maximum number of quadratic number fields K such that E(Q)_tors\neq E(K)_tors is easily obtained. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 110 (1), 121-143. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Elliptic curves | es |
dc.subject | Torsion subgroup | es |
dc.subject | Rationals | es |
dc.subject | Quadratic fields | es |
dc.title | Torsion of rational elliptic curves over quadratic fields II | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-35849 | es |
dc.relation.projectID | FQM-218 | es |
dc.relation.projectID | P12-FQM-2696 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s13398-015-0223-9 | es |
dc.identifier.doi | 10.1007/s13398-015-0223-9 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | es |
dc.publication.volumen | 110 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 121 | es |
dc.publication.endPage | 143 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47168 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |
dc.contributor.funder | Junta de Andalucía | |