IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS

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	IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS
	Buyukboduk, Kazim 1; Lei, Antonio 2; Venkat, Guhan 3
	2021
发表期刊	DOCUMENTA MATHEMATICA
ISSN	1431-0643
卷号	26 页码:1-63
摘要	Let f be a normalized cuspidal eigen-newform of level coprime to p with a(p)(f) = 0. We formulate both integral signed Iwasawa main conjectures and analytic Iwasawa main conjectures attached to the symmetric square motive of f twisted by an auxiliary Dirichlet character. We show that the Beilinson-Flach elements attached to the symmetric square motive factorize into integral signed Beilinson-Flach elements, giving evidence towards the existence of a rank-two Euler system predicted by Perrin-Riou. We use these integral elements to prove one inclusion in the integral and analytic Iwasawa main conjectures.
关键词	Iwasawa theory elliptic modular forms symmetric square representations non-ordinary primes
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000678475800001
出版者	FIZ KARLSRUHE-LEIBNIZ-INST INFORMATIONSINFRASTRUKTUR
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58975
专题	中国科学院数学与系统科学研究院
通讯作者	Buyukboduk, Kazim
作者单位	1.Univ Coll Dublin, UCD Sch Math & Stat, Dublin 4, Ireland 2.Univ Laval, Dept Math & Stat, Pavillon Alexandre Vachon,1045 Ave Med, Quebec City, PQ G1V 0A6, Canada 3.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Buyukboduk, Kazim,Lei, Antonio,Venkat, Guhan. IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS[J]. DOCUMENTA MATHEMATICA,2021,26:1-63.
APA	Buyukboduk, Kazim,Lei, Antonio,&Venkat, Guhan.(2021).IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS.DOCUMENTA MATHEMATICA,26,1-63.
MLA	Buyukboduk, Kazim,et al."IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS".DOCUMENTA MATHEMATICA 26(2021):1-63.