HEEGNER POINTS ON MODULAR CURVES

doi:10.1090/tran/7053

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	HEEGNER POINTS ON MODULAR CURVES
	Cai, Li 1; Chen, Yihua 2; Liu, Yu 1
	2018-05-01
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	370 期号:5 页码:3721-3743
摘要	In 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.
DOI	10.1090/tran/7053
语种	英语
资助项目	China Postdoctoral Science Foundation[2014T70067]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000425780200025
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29571
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Li
作者单位	1.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
推荐引用方式 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.