Torsion of rational elliptic curves over quadratic fields

Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.

Detalles Bibliográficos
Autores: González Jiménez, Enrique, Tornero Sánchez, José María
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47118
Acceso en línea:http://hdl.handle.net/11441/47118
https://doi.org/10.1007/s13398-013-0152-4
Access Level:acceso abierto
Palabra clave:Elliptic curves
Torsion subgroup
Rationals
Quadratic fields
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spelling Torsion of rational elliptic curves over quadratic fieldsGonzález Jiménez, EnriqueTornero Sánchez, José MaríaElliptic curvesTorsion subgroupRationalsQuadratic fieldsLet E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.Ministerio de Economía y CompetitividadPlan Andaluz de Investigación (Junta de Andalucía)Fondo Europeo de Desarrollo RegionalSpringerÁlgebraFQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47118https://doi.org/10.1007/s13398-013-0152-4reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas, 108 (2), 923-934.info:eu-repo/grantAgreement/MINECO/MTM2012–35849/FQM-218P08-FQM-03894http://download.springer.com/static/pdf/196/art%253A10.1007%252Fs13398-013-0152-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs13398-013-0152-4&token2=exp=1475752724~acl=%2Fstatic%2Fpdf%2F196%2Fart%25253A10.1007%25252Fs13398-013-0152-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs13398-013-0152-4*~hmac=afcc8bb0ca4c0d8909f7d143a58e5e348ea376ff7ceb6bb00206a57a2b1eb5a8info:eu-repo/semantics/openAccessoai:idus.us.es:11441/471182026-06-17T12:51:07Z
dc.title.none.fl_str_mv Torsion of rational elliptic curves over quadratic fields
title Torsion of rational elliptic curves over quadratic fields
spellingShingle Torsion of rational elliptic curves over quadratic fields
González Jiménez, Enrique
Elliptic curves
Torsion subgroup
Rationals
Quadratic fields
title_short Torsion of rational elliptic curves over quadratic fields
title_full Torsion of rational elliptic curves over quadratic fields
title_fullStr Torsion of rational elliptic curves over quadratic fields
title_full_unstemmed Torsion of rational elliptic curves over quadratic fields
title_sort Torsion of rational elliptic curves over quadratic fields
dc.creator.none.fl_str_mv González Jiménez, Enrique
Tornero Sánchez, José María
author González Jiménez, Enrique
author_facet González Jiménez, Enrique
Tornero Sánchez, José María
author_role author
author2 Tornero Sánchez, José María
author2_role author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades
dc.subject.none.fl_str_mv Elliptic curves
Torsion subgroup
Rationals
Quadratic fields
topic Elliptic curves
Torsion subgroup
Rationals
Quadratic fields
description Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/47118
https://doi.org/10.1007/s13398-013-0152-4
url http://hdl.handle.net/11441/47118
https://doi.org/10.1007/s13398-013-0152-4
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas, 108 (2), 923-934.
info:eu-repo/grantAgreement/MINECO/MTM2012–35849/
FQM-218
P08-FQM-03894
http://download.springer.com/static/pdf/196/art%253A10.1007%252Fs13398-013-0152-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs13398-013-0152-4&token2=exp=1475752724~acl=%2Fstatic%2Fpdf%2F196%2Fart%25253A10.1007%25252Fs13398-013-0152-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs13398-013-0152-4*~hmac=afcc8bb0ca4c0d8909f7d143a58e5e348ea376ff7ceb6bb00206a57a2b1eb5a8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,228081

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