Brauer-Manin obstruction for Markoff surfaces
文献类型：期刊论文
| 作者 | Colliot-Thelene, Jean-Louis1; Wei, Dasheng2,3; Xu, Fei4 |
| 刊名 | ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
 |
| 出版日期 | 2020 |
| 卷号 | 21页码:1257-1313 |
| ISSN号 | 0391-173X |
| 英文摘要 | Ghosh and Sarnak have studied integral points on surfaces defined by an equation x(2) + y(2) + z(2) - xyz = m over the integers. For these affine surfaces, we systematically study the Brauer group and the Brauer-Manin obstruction to the integral Hasse principle. We prove that strong approximation for integral points on any such surface, away from any finite set of places, fails, and that, for m not equal 0, 4, the Brauer group does not control strong approximation. |
| 资助项目 | National Natural Science Foundation of China[11622111] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000612618500037 |
| 出版者 | SCUOLA NORMALE SUPERIORE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58085]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Colliot-Thelene, Jean-Louis |
| 作者单位 | 1.Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China |
| 推荐引用方式 GB/T 7714 | Colliot-Thelene, Jean-Louis,Wei, Dasheng,Xu, Fei. Brauer-Manin obstruction for Markoff surfaces[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,2020,21:1257-1313. |
| APA | Colliot-Thelene, Jean-Louis,Wei, Dasheng,&Xu, Fei.(2020).Brauer-Manin obstruction for Markoff surfaces.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE,21,1257-1313. |
| MLA | Colliot-Thelene, Jean-Louis,et al."Brauer-Manin obstruction for Markoff surfaces".ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 21(2020):1257-1313. |
入库方式： OAI收割
来源：数学与系统科学研究院
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