On the ubiquity of trivial torsion on elliptic curves

“This is a post-peer-review, pre-copyedit version of an article published in Archiv der Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00013-010-0145-x”

Bibliographic Details
Authors: González Jiménez, Enrique, Tornero, Jose M.
Format: article
Publication Date:2010
Country:España
Institution:Universidad Autónoma de Madrid
Repository:Biblos-e Archivo. Repositorio Institucional de la UAM
Language:English
OAI Identifier:oai:repositorio.uam.es:10486/711185
Online Access:http://hdl.handle.net/10486/711185
https://dx.doi.org/10.1007/s00013-010-0145-x
Access Level:Open access
Keyword:11G05
14H52
Elliptic Curves
Torsion Subgroup
Matemáticas
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spelling On the ubiquity of trivial torsion on elliptic curvesGonzález Jiménez, EnriqueTornero, Jose M.11G0514H52Elliptic CurvesTorsion SubgroupMatemáticas“This is a post-peer-review, pre-copyedit version of an article published in Archiv der Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00013-010-0145-x”The purpose of this paper is to give a down-to-earth proof of the well-known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsionThe first author was supported in part by grants MTM 2009-07291 (Ministerio de Educación y Ciencia, Spain) and CCG08-UAM/ESP-3906 (Universidad Autonóma de Madrid de Comunidad de Madrid, Spain). The second author was partially supported by grants FQM–218 and P08–FQM–03894 (Junta de Andalucía) and MTM 2007-66929 (Ministerio de Educación y Ciencia, Spain)SpringerBirkhäuser VerlagDepartamento de MatemáticasFacultad de Ciencias20102010-01-29research articlehttp://purl.org/coar/resource_type/c_2df8fbb1AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/711185https://dx.doi.org/10.1007/s00013-010-0145-xreponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7111852026-06-23T12:46:27Z
dc.title.none.fl_str_mv On the ubiquity of trivial torsion on elliptic curves
title On the ubiquity of trivial torsion on elliptic curves
spellingShingle On the ubiquity of trivial torsion on elliptic curves
González Jiménez, Enrique
11G05
14H52
Elliptic Curves
Torsion Subgroup
Matemáticas
title_short On the ubiquity of trivial torsion on elliptic curves
title_full On the ubiquity of trivial torsion on elliptic curves
title_fullStr On the ubiquity of trivial torsion on elliptic curves
title_full_unstemmed On the ubiquity of trivial torsion on elliptic curves
title_sort On the ubiquity of trivial torsion on elliptic curves
dc.creator.none.fl_str_mv González Jiménez, Enrique
Tornero, Jose M.
author González Jiménez, Enrique
author_facet González Jiménez, Enrique
Tornero, Jose M.
author_role author
author2 Tornero, Jose M.
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv 11G05
14H52
Elliptic Curves
Torsion Subgroup
Matemáticas
topic 11G05
14H52
Elliptic Curves
Torsion Subgroup
Matemáticas
description “This is a post-peer-review, pre-copyedit version of an article published in Archiv der Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00013-010-0145-x”
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-29
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/711185
https://dx.doi.org/10.1007/s00013-010-0145-x
url http://hdl.handle.net/10486/711185
https://dx.doi.org/10.1007/s00013-010-0145-x
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
Birkhäuser Verlag
publisher.none.fl_str_mv Springer
Birkhäuser Verlag
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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