A generalization of the Cassels-Tate dual exact sequence
Number Theory
2007-05-23 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.math/0608587,
title = {A generalization of the Cassels-Tate dual exact sequence},
author = {Cristian D. Gonzalez-Aviles and Ki-Seng Tan},
journal= {arXiv preprint arXiv:math/0608587},
year = {2007}
}
Comments
9 pages, 11 references