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Strong approximation and descent
Derenthal, Ulrich1; Wei, Dasheng2
2017-10-01
Source PublicationJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN0075-4102
Volume731Pages:235-258
AbstractWe 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.
DOI10.1515/crelle-2014-0149
Language英语
Funding ProjectDeutsche 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000412119500008
PublisherWALTER DE GRUYTER GMBH
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26638
Collection数学所
Affiliation1.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
Recommended Citation
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.
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