A generalization of the Cassels-Tate dual exact sequence
classification
🧮 math.NT
math.AC
keywords
cassels-tatedualexactsequenceabeliancasecharacteristiccomponent
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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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