IWASAWA THEORY OF HILBERT MODULAR FORMS FOR ANTICYCLOTOMIC EXTENSIONS WITHOUT IHARA’S LEMMA

Bingyong Xie

doi:10.5565/PUBLMAT6812403

IWASAWA THEORY OF HILBERT MODULAR FORMS FOR ANTICYCLOTOMIC EXTENSIONS WITHOUT IHARA’S LEMMA

Bingyong Xie^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	41-71
页数	31
期刊	Publicacions Matematiques
卷	68
期	1
DOI	https://doi.org/10.5565/PUBLMAT6812403
出版状态	已出版 - 2024

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title = "IWASAWA THEORY OF HILBERT MODULAR FORMS FOR ANTICYCLOTOMIC EXTENSIONS WITHOUT IHARA{\textquoteright}S LEMMA",

abstract = "Following Bertolini and Darmon{\textquoteright}s method, with “Ihara{\textquoteright}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{\textquoteright}s lemma” condition in their results.",

keywords = "Iwasawa main conjecture, Selmer groups, anticyclotomic extensions, p-adic L-functions",

author = "Bingyong Xie",

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language = "英语",

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N2 - 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.

AB - 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.

KW - Iwasawa main conjecture

KW - Selmer groups

KW - anticyclotomic extensions

KW - p-adic L-functions

UR - https://www.scopus.com/pages/publications/85185268905

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DO - 10.5565/PUBLMAT6812403

M3 - 文章

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SN - 0214-1493

VL - 68

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IS - 1

ER -

IWASAWA THEORY OF HILBERT MODULAR FORMS FOR ANTICYCLOTOMIC EXTENSIONS WITHOUT IHARA’S LEMMA

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