Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma

Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. In thi...

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Detalles Bibliográficos
Autor: Xie, Bingyong
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:286795
Acceso en línea:https://ddd.uab.cat/record/286795
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6812403
Access Level:acceso abierto
Palabra clave:Selmer groups
P-adic l-functions
Iwasawa main conjecture
Anticyclotomic extensions
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spelling Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemmaXie, BingyongSelmer groupsP-adic l-functionsIwasawa main conjectureAnticyclotomic extensionsFollowing Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. In this paper, we remove the "Ihara's lemma" condition in their results. 22024-01-0120242024-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/286795https://dx.doi.org/urn:doi:10.5565/PUBLMAT6812403reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen 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:2867952026-06-06T12:50:31Z
dc.title.none.fl_str_mv Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
title Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
spellingShingle Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
Xie, Bingyong
Selmer groups
P-adic l-functions
Iwasawa main conjecture
Anticyclotomic extensions
title_short Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
title_full Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
title_fullStr Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
title_full_unstemmed Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
title_sort Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
dc.creator.none.fl_str_mv Xie, Bingyong
author Xie, Bingyong
author_facet Xie, Bingyong
author_role author
dc.subject.none.fl_str_mv Selmer groups
P-adic l-functions
Iwasawa main conjecture
Anticyclotomic extensions
topic Selmer groups
P-adic l-functions
Iwasawa main conjecture
Anticyclotomic extensions
description Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. In this paper, we remove the "Ihara's lemma" condition in their results.
publishDate 2024
dc.date.none.fl_str_mv 2
2024-01-01
2024
2024-01-01
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/286795
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6812403
url https://ddd.uab.cat/record/286795
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6812403
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
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
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