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arXiv · 2302.01640

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

Himanshu Shukla·Michael Stoll
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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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Himanshu Shukla, Michael Stoll. 2023-02-03. The Cassels-Tate pairing on 2-Selmer groups of elliptic curves. https://arxiv.org/abs/2302.01640

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