Milan Journal of Mathematics

, Volume 78, Issue 2, pp 395–416 | Cite as

The Tate-Shafarevich Group for Elliptic Curves with Complex Multiplication II

Article

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.

Keywords

Elliptic curve Tate-Shafarevich group Iwasawa theory 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Emmanuel CollegeCambridgeEngland
  2. 2.Department of MathematicsPOSTECHPohangKorea
  3. 3.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  4. 4.School of MathematicsTIFRMumbaiIndia

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