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arxiv: 0710.2079 · v1 · pith:3Y3M4EC7new · submitted 2007-10-10 · 🧮 math.NT

The yoga of the Cassels-Tate pairing

classification 🧮 math.NT
keywords pairingcassels-tatearticlecasselscurvedescribedellipticgroup
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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.

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