Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields

We give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associate...

Descripción completa

Detalles Bibliográficos
Autor: Bars Cortina, Francesc|||0000-0003-4779-3995
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:240657
Acceso en línea:https://ddd.uab.cat/record/240657
https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2007.11.001
Access Level:acceso abierto
Palabra clave:Hecke characters of imaginary quadratic fields
Weak Leopoldt's conjecture
id ES_c90faa5a9db693f7458b84ce9926e04d
oai_identifier_str oai:ddd.uab.cat:240657
network_acronym_str ES
network_name_str España
repository_id_str
spelling Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fieldsBars Cortina, Francesc|||0000-0003-4779-3995Hecke characters of imaginary quadratic fieldsWeak Leopoldt's conjectureWe give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associated to the Hecke character has good reduction at the primes above p in K. This proof makes use of the 2-variable Iwasawa main conjecture proved by Rubin. Thus we prove the Jannsen conjecture for the above p-adic realizations for almost all Tate twists. 22008-01-0120082008-01-01Articlehttp://purl.org/coar/resource_type/c_6501SMURhttp://purl.org/coar/version/c_71e4c1898caa6e32info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/240657https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2007.11.001reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Educación y Ciencia MTM2006-11391open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2406572026-06-06T12:50:31Z
dc.title.none.fl_str_mv Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
title Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
spellingShingle Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
Bars Cortina, Francesc|||0000-0003-4779-3995
Hecke characters of imaginary quadratic fields
Weak Leopoldt's conjecture
title_short Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
title_full Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
title_fullStr Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
title_full_unstemmed Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
title_sort Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
dc.creator.none.fl_str_mv Bars Cortina, Francesc|||0000-0003-4779-3995
author Bars Cortina, Francesc|||0000-0003-4779-3995
author_facet Bars Cortina, Francesc|||0000-0003-4779-3995
author_role author
dc.subject.none.fl_str_mv Hecke characters of imaginary quadratic fields
Weak Leopoldt's conjecture
topic Hecke characters of imaginary quadratic fields
Weak Leopoldt's conjecture
description We give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associated to the Hecke character has good reduction at the primes above p in K. This proof makes use of the 2-variable Iwasawa main conjecture proved by Rubin. Thus we prove the Jannsen conjecture for the above p-adic realizations for almost all Tate twists.
publishDate 2008
dc.date.none.fl_str_mv 2
2008-01-01
2008
2008-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
SMUR
http://purl.org/coar/version/c_71e4c1898caa6e32
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/240657
https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2007.11.001
url https://ddd.uab.cat/record/240657
https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2007.11.001
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Educación y Ciencia MTM2006-11391
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
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
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869419339097047040
score 15.301603

Similares en LA Referencia