2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115535We 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.9 pages, 11 referencesNumber TheoryCommutative Algebra11G35; 14G25text