| Strong approximation and descent | |
Derenthal, Ulrich1; Wei, Dasheng2
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| 2017-10-01 | |
| 发表期刊 | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
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| ISSN | 0075-4102 |
| 卷号 | 731页码:235-258 |
| 摘要 | We introduce descent methods to the study of strong approximation on algebraic varieties. We apply them to two classes of varieties defined by P(t) = N-K/k(z): firstly for quartic extensions of number fields K/k and quadratic polynomials P(t) in one variable, and secondly for k = Q, an arbitrary number field K and P(t) a product of linear polynomials over Q in at least two variables. Finally, we illustrate that a certain unboundedness condition at archimedean places is necessary for strong approximation. |
| DOI | 10.1515/crelle-2014-0149 |
| 语种 | 英语 |
| 资助项目 | Deutsche Forschungsgemeinschaft[DE 1646/2-1] ; Deutsche Forschungsgemeinschaft[DE 1646/3-1] ; National Key Basic Research Program of China[2013CB834202] ; National Natural Science Foundation of China[11371210] ; National Natural Science Foundation of China[11321101] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000412119500008 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26638 |
| 专题 | 数学所 |
| 通讯作者 | Derenthal, Ulrich |
| 作者单位 | 1.Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, Welfengarten 1, D-30167 Hannover, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Derenthal, Ulrich,Wei, Dasheng. Strong approximation and descent[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2017,731:235-258. |
| APA | Derenthal, Ulrich,&Wei, Dasheng.(2017).Strong approximation and descent.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,731,235-258. |
| MLA | Derenthal, Ulrich,et al."Strong approximation and descent".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 731(2017):235-258. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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