On orders in number fields: Picard groups, ring class fields and applications
文献类型：期刊论文
| 作者 | Lv Chang; Deng YingPu
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 58期号:8页码:1627-1638 |
| 关键词 | orders Picard groups ring class fields integral points |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-4979-3 |
| 英文摘要 | We focus on orders in arbitrary number fields, consider their Picard groups and finally obtain ring class fields corresponding to them. The Galois group of the ring class field is isomorphic to the Picard group. As an application, we give criteria of the integral solvability of the diophantine equation p = x (2) + ny (2) over a class of imaginary quadratic fields where p is a prime element. |
| 资助项目 | National Natural Science Foundation of China[11471314] ; National Basic Research Program of China (973 Project)[2011CB302401] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000358172300004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20412]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Lv Chang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lv Chang,Deng YingPu. On orders in number fields: Picard groups, ring class fields and applications[J]. SCIENCE CHINA-MATHEMATICS,2015,58(8):1627-1638. |
| APA | Lv Chang,&Deng YingPu.(2015).On orders in number fields: Picard groups, ring class fields and applications.SCIENCE CHINA-MATHEMATICS,58(8),1627-1638. |
| MLA | Lv Chang,et al."On orders in number fields: Picard groups, ring class fields and applications".SCIENCE CHINA-MATHEMATICS 58.8(2015):1627-1638. |
入库方式： OAI收割
来源：数学与系统科学研究院
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