The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions

doi:10.1016/j.aim.2022.108266

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	The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions
	Castella, Francesc 1; Wan, Xin 2
	2022-05-14
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	400 页码:45
摘要	We prove under mild hypotheses the three-variable Iwasawa Main Conjecture for p-ordinary modular forms base changed to an imaginary quadratic field K in which p splits in the indefinite setting (in the definite setting this is a result due to Skinner-Urban). Being in a setting encompassing Heegner points and their variation in p-adic families, our main result has new applications to Greenberg's nonvanishing conjecture for central derivatives of p-adic L-functions of Hida families with root number -1. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
关键词	Iwasawa theory p-adic families of modular forms Selmer groups Euler systems p-adicL-functions
DOI	10.1016/j.aim.2022.108266
收录类别	SCI
语种	英语
资助项目	NSF[DMS-1801385] ; NSF[DMS-1946136] ; NSF[DMS-2101458] ; National Key R&D Program of China[2020YFA0712600] ; NSFC[11688101] ; NSFC[11621061]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000793110000011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61304
专题	中国科学院数学与系统科学研究院
通讯作者	Castella, Francesc
作者单位	1.Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Castella, Francesc,Wan, Xin. The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions[J]. ADVANCES IN MATHEMATICS,2022,400:45.
APA	Castella, Francesc,&Wan, Xin.(2022).The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions.ADVANCES IN MATHEMATICS,400,45.
MLA	Castella, Francesc,et al."The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions".ADVANCES IN MATHEMATICS 400(2022):45.