HEEGNER POINTS ON MODULAR CURVES
文献类型：期刊论文
| 作者 | Cai, Li1; Chen, Yihua2; Liu, Yu1 |
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2018-05-01 |
| 卷号 | 370期号:5页码:3721-3743 |
| ISSN号 | 0002-9947 |
| DOI | 10.1090/tran/7053 |
| 英文摘要 | In this paper, we study the Heegner points on more general modular curves other than X-0(N), which generalizes Gross' work "Heegner points on X-0(N)". The explicit Gross-Zagier formula and the Euler system property are stated in this case. Using such a kind of Heegner points, we construct certain families of quadratic twists of X-0(36), with the ranks of Mordell-Weil groups being zero and one respectively, and show that the 2-part of their BSD conjectures hold. |
| 资助项目 | China Postdoctoral Science Foundation[2014T70067] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000425780200025 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29570]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cai, Li |
| 作者单位 | 1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai, Li,Chen, Yihua,Liu, Yu. HEEGNER POINTS ON MODULAR CURVES[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2018,370(5):3721-3743. |
| APA | Cai, Li,Chen, Yihua,&Liu, Yu.(2018).HEEGNER POINTS ON MODULAR CURVES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,370(5),3721-3743. |
| MLA | Cai, Li,et al."HEEGNER POINTS ON MODULAR CURVES".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 370.5(2018):3721-3743. |
入库方式： OAI收割
来源：数学与系统科学研究院
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