Rational points on fibrations with few non-split fibres
文献类型：期刊论文
| 作者 | Harpaz, Yonatan1; Wei, Dasheng2,3; Wittenberg, Olivier1 |
| 刊名 | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
 |
| 出版日期 | 2022-08-12 |
| 页码 | 45 |
| ISSN号 | 0075-4102 |
| DOI | 10.1515/crelle-2022-0042 |
| 英文摘要 | We revisit the abstract framework underlying the fibration method for producing rational points on the total space of fibrations over the projective line. By fine-tuning its dependence on external arithmetic conjectures, we render the method unconditional when the degree of the non-split locus is <= 2 , as well as in various instances where it is 3. We are also able to obtain improved results in the regime that is conditionally accessible under Schinzel's hypothesis, by incorporating into it, for the first time, a technique due to Harari for controlling the Brauer-Manin obstruction in families. |
| 资助项目 | National Key R&D Program of China ; National Natural Science Foundation of China[11622111] ; National Natural Science Foundation of China[11631009] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000838819200001 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61090]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wittenberg, Olivier |
| 作者单位 | 1.Univ Sorbonne Paris Nord, Inst Galilee, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Univ CAS, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Harpaz, Yonatan,Wei, Dasheng,Wittenberg, Olivier. Rational points on fibrations with few non-split fibres[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2022:45. |
| APA | Harpaz, Yonatan,Wei, Dasheng,&Wittenberg, Olivier.(2022).Rational points on fibrations with few non-split fibres.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,45. |
| MLA | Harpaz, Yonatan,et al."Rational points on fibrations with few non-split fibres".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2022):45. |
入库方式： OAI收割
来源：数学与系统科学研究院
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