Special automorphisms on Shimura curves and non-triviality of Heegner points
文献类型：期刊论文
| 作者 | Cai, Li1; Li YongXiong2; Wang ZhangJie1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-07-01 |
| 卷号 | 59期号:7页码:1307-1326 |
| 关键词 | Shimura curves Heegner points BSD conjecture |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-016-5128-3 |
| 英文摘要 | We define the notion of special automorphisms on Shimura curves. Using this notion, for a wild class of elliptic curves defined over Q, we get rank one quadratic twists by discriminants having any prescribed number of prime factors. Finally, as an application, we obtain some new results on Birch and Swinnerton-Dyer (BSD) conjecture for the rank one quadratic twists of the elliptic curve X (0)(49). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000379083700005 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23058]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li YongXiong |
| 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,Li YongXiong,Wang ZhangJie. Special automorphisms on Shimura curves and non-triviality of Heegner points[J]. SCIENCE CHINA-MATHEMATICS,2016,59(7):1307-1326. |
| APA | Cai, Li,Li YongXiong,&Wang ZhangJie.(2016).Special automorphisms on Shimura curves and non-triviality of Heegner points.SCIENCE CHINA-MATHEMATICS,59(7),1307-1326. |
| MLA | Cai, Li,et al."Special automorphisms on Shimura curves and non-triviality of Heegner points".SCIENCE CHINA-MATHEMATICS 59.7(2016):1307-1326. |
入库方式： OAI收割
来源：数学与系统科学研究院
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