期刊论文详细信息
JOURNAL OF ALGEBRA | 卷:322 |
The Tate-Shafarevich group for elliptic curves with complex multiplication | |
Article | |
Coates, J.2  Liang, Z.3  Sujatha, R.1  | |
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India | |
[2] Univ Cambridge, DPMMS, Ctr Math Sci, Cambridge CB3 0WB, England | |
[3] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China | |
关键词: Elliptic curves; Algebraic number theory; | |
DOI : 10.1016/j.jalgebra.2009.04.039 | |
来源: Elsevier | |
【 摘 要 】
Let E be an elliptic curve over Q with complex multiplication. We give an explicit upper bound for the number of copies of Q(p)/Z(p) which can occur in the Tate-Shafarevich group of E for all sufficiently large good ordinary primes p. (C) 2009 Elsevier Inc. All rights reserved.
【 授权许可】
Free
【 预 览 】
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10_1016_j_jalgebra_2009_04_039.pdf | 256KB | download |