A generalization of the Cassels-Tate dual exact sequence

Details A generalization of the Cassels-Tate dual exact sequence A generalization of the Cassels-Tate dual exact sequence

2006-08-23

arxiv.org/abs/math/0608587v1

Mathematics

Number Theory

9 pages, 11 references

Scientific paper

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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