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The yoga of the Cassels-Tate pairing

Number Theory 2019-02-20 v1

Abstract

Cassels has described a pairing on the 2-Selmer group of an elliptic curve which shares some properties with the Cassels-Tate pairing. In this article, we prove that the two pairings are the same.

Keywords

Cite

@article{arxiv.0710.2079,
  title  = {The yoga of the Cassels-Tate pairing},
  author = {Tom Fisher and Edward F. Schaefer and Michael Stoll},
  journal= {arXiv preprint arXiv:0710.2079},
  year   = {2019}
}

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8 pages