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HEEGNER POINTS ON MODULAR CURVES
Cai, Li1; Chen, Yihua2; Liu, Yu1
2018-05-01
Source PublicationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9947
Volume370Issue:5Pages:3721-3743
AbstractIn this paper, we study the Heegner points on more general modular curves other than X-0(N), which generalizes Gross' work "Heegner points on X-0(N)". The explicit Gross-Zagier formula and the Euler system property are stated in this case. Using such a kind of Heegner points, we construct certain families of quadratic twists of X-0(36), with the ranks of Mordell-Weil groups being zero and one respectively, and show that the 2-part of their BSD conjectures hold.
DOI10.1090/tran/7053
Language英语
Funding ProjectChina Postdoctoral Science Foundation[2014T70067]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000425780200025
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29571
Collection中国科学院数学与系统科学研究院
Affiliation1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Cai, Li,Chen, Yihua,Liu, Yu. HEEGNER POINTS ON MODULAR CURVES[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2018,370(5):3721-3743.
APA Cai, Li,Chen, Yihua,&Liu, Yu.(2018).HEEGNER POINTS ON MODULAR CURVES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,370(5),3721-3743.
MLA Cai, Li,et al."HEEGNER POINTS ON MODULAR CURVES".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 370.5(2018):3721-3743.
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