IWASAWA THEORY FOR SYMMETRIC SQUARES OF NON-p-ORDINARY EIGENFORMS
文献类型：期刊论文
| 作者 | Buyukboduk, Kazim3; Lei, Antonio2; Venkat, Guhan1 |
| 刊名 | DOCUMENTA MATHEMATICA
 |
| 出版日期 | 2021 |
| 卷号 | 26页码:1-63 |
| 关键词 | Iwasawa theory elliptic modular forms symmetric square representations non-ordinary primes |
| ISSN号 | 1431-0643 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000678475800001 |
| 出版者 | FIZ KARLSRUHE-LEIBNIZ-INST INFORMATIONSINFRASTRUKTUR |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58974]  |
| 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.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Laval, Dept Math & Stat, Pavillon Alexandre Vachon,1045 Ave Med, Quebec City, PQ G1V 0A6, Canada 3.Univ Coll Dublin, UCD Sch Math & Stat, Dublin 4, Ireland |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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