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On orders in number fields: Picard groups, ring class fields and applications
Lv Chang; Deng YingPu
2015-08-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume58Issue:8Pages:1627-1638
AbstractWe 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.
Keywordorders Picard groups ring class fields integral points
DOI10.1007/s11425-015-4979-3
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000358172300004
PublisherSCIENCE PRESS
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20413
Collection系统科学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
Recommended Citation
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.
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