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arXiv:2302.01640 [math.NT]AbstractReferencesReviewsResources

The Cassels-Tate pairing on 2-Selmer groups of elliptic curves

Himanshu Shukla, Michael Stoll

Published 2023-02-03Version 1

We explicitly compute the Cassels-Tate pairing on the 2-Selmer group of an elliptic curve using the Albanese-Albanese definition of the pairing given by Poonen and Stoll. This leads to a new proof that a pairing defined by Cassels on the 2-Selmer groups of elliptic curves agrees with the Cassels-Tate pairing.

Comments: 20 pages
Categories: math.NT
Subjects: 11G05, 11Y99
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