2006/08/23 by Gonzalez-Aviles, Cristian D., Tan, Ki-Seng
#11G35 #14G25 #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.math/0608587
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.