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

Published 3 Feb 2023 in math.NT | (2302.01640v1)

Abstract: 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.

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