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math.NT2008
The generalized Cassels-Tate dual exact sequence for 1-motives
Cristian D. Gonzalez-Aviles, Ki-Seng Tan
We establish a generalized Cassels-Tate dual exact sequence for 1-motives over global fields. We thereby extend the main theorem of [4] from abelian varieties to arbitrary 1-motive…
math.NT2008
Control Theorems for Abelian Varieties over Function Fields
Ki-Seng Tan
We prove control theorems for abelian varieties over function fields.
math.NT2006
A generalization of the Cassels-Tate dual exact sequence
Cristian D. Gonzalez-Aviles, Ki-Seng Tan
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 cas…