Characteristic ideals and Iwasawa theory

Let Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a pro-characteristic ideal for M in Λ, whi...

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Detalhes bibliográficos
Autores: Bandini, Andrea|||0000-0001-5876-348X, Bars Cortina, Francesc|||0000-0003-4779-3995, Longhi, Ignazio|||0000-0002-1141-7018
Formato: artículo
Fecha de publicación:2014
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:243141
Acesso em linha:https://ddd.uab.cat/record/243141
Access Level:acceso abierto
Palavra-chave:Characteristic ideals
Iwasawa theory
Krull rings
Class groups
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spelling Characteristic ideals and Iwasawa theoryBandini, Andrea|||0000-0001-5876-348XBars Cortina, Francesc|||0000-0003-4779-3995Longhi, Ignazio|||0000-0002-1141-7018Characteristic idealsIwasawa theoryKrull ringsClass groupsLet Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a pro-characteristic ideal for M in Λ, which should play the role of the usual characteristic ideals for finitely generated modules over noetherian Krull domains. We apply this to the study of Iwasawa modules (in particular of class groups) in a nonnoetherian Iwasawa algebra Zp[[Gal(F/F)]], where F is a function field of characteristic p and Gal(F/F) -~ Zp∞. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/243141reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40680-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2431412026-06-06T12:50:31Z
dc.title.none.fl_str_mv Characteristic ideals and Iwasawa theory
title Characteristic ideals and Iwasawa theory
spellingShingle Characteristic ideals and Iwasawa theory
Bandini, Andrea|||0000-0001-5876-348X
Characteristic ideals
Iwasawa theory
Krull rings
Class groups
title_short Characteristic ideals and Iwasawa theory
title_full Characteristic ideals and Iwasawa theory
title_fullStr Characteristic ideals and Iwasawa theory
title_full_unstemmed Characteristic ideals and Iwasawa theory
title_sort Characteristic ideals and Iwasawa theory
dc.creator.none.fl_str_mv Bandini, Andrea|||0000-0001-5876-348X
Bars Cortina, Francesc|||0000-0003-4779-3995
Longhi, Ignazio|||0000-0002-1141-7018
author Bandini, Andrea|||0000-0001-5876-348X
author_facet Bandini, Andrea|||0000-0001-5876-348X
Bars Cortina, Francesc|||0000-0003-4779-3995
Longhi, Ignazio|||0000-0002-1141-7018
author_role author
author2 Bars Cortina, Francesc|||0000-0003-4779-3995
Longhi, Ignazio|||0000-0002-1141-7018
author2_role author
author
dc.subject.none.fl_str_mv Characteristic ideals
Iwasawa theory
Krull rings
Class groups
topic Characteristic ideals
Iwasawa theory
Krull rings
Class groups
description Let Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a pro-characteristic ideal for M in Λ, which should play the role of the usual characteristic ideals for finitely generated modules over noetherian Krull domains. We apply this to the study of Iwasawa modules (in particular of class groups) in a nonnoetherian Iwasawa algebra Zp[[Gal(F/F)]], where F is a function field of characteristic p and Gal(F/F) -~ Zp∞.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/243141
url https://ddd.uab.cat/record/243141
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40680-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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://rightsstatements.org/vocab/InC/1.0/
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
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