The Tate-Shafarevich group for elliptic curves with complex multiplication II

Coates, J. ; Liang, Z. ; Sujatha, R. (2010) The Tate-Shafarevich group for elliptic curves with complex multiplication II Milan Journal of Mathematics, 78 (2). pp. 395-416. ISSN 1424-9286

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Official URL: http://www.springerlink.com/content/dt606n3gp5v455...

Related URL: http://dx.doi.org/10.1007/s00032-010-0127-2

Abstract

Using Iwasawa theory, we establish some numerical results, and one weak theoretical result, about the enigmatic Tate-Shafarevich group of an elliptic curve defined over the rational field, with complex multiplication. These strengthen results of this kind proven in an earlier paper of ours.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Elliptic Curve; Tate-Shafarevich Group; Iwasawa Theory
ID Code:76858
Deposited On:07 Jan 2012 09:43
Last Modified:07 Jan 2012 09:43

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