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

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	41-71
Number of pages	31
Journal	Publicacions Matematiques
Volume	68
Issue number	1
DOIs	https://doi.org/10.5565/PUBLMAT6812403
State	Published - 2024

Keywords

Iwasawa main conjecture
Selmer groups
anticyclotomic extensions
p-adic L-functions

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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",

year = "2024",

doi = "10.5565/PUBLMAT6812403",

language = "英语",

volume = "68",

pages = "41--71",

journal = "Publicacions Matematiques",

issn = "0214-1493",

publisher = "Universitat Autonoma de Barcelona",

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AU - Xie, Bingyong

PY - 2024

Y1 - 2024

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

U2 - 10.5565/PUBLMAT6812403

DO - 10.5565/PUBLMAT6812403

M3 - 文章

AN - SCOPUS:85185268905

SN - 0214-1493

VL - 68

SP - 41

EP - 71

JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 1

ER -

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

Abstract

Keywords

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