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A generalization of the Cassels-Tate dual exact sequence

Cristian D. Gonzalez-Aviles·Ki-Seng Tan
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Abstract

We extend the well-known Cassels-Tate dual exact sequence for abelian varieties A over global fields K in two directions: we treat the p-primary component in the function field case, where p is the characteristic of K, and we dispense with the hypothesis that the Tate-Shafarevich group of A is finite.

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Cristian D. Gonzalez-Aviles, Ki-Seng Tan. 2006-08-23. A generalization of the Cassels-Tate dual exact sequence. https://arxiv.org/abs/math/0608587

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