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paper

The yoga of the Cassels-Tate pairing

arXiv:0710.2079 · doi:10.1112/S1461157010000185

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.

8 pages