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Duality of Selmer groups of an abelian variety over a number field

Published 7 Feb 2025 in math.NT | (2502.04968v1)

Abstract: Let $A$ be an abelian variety defined over a number field $K$ and let $A{\vee}$ be the dual abelian variety. For an odd prime $p$, we consider two Selmer groups attached to $A[p]$ and relate the orders of these groups along with those of their corresponding duals to the order of the component groups of $A{\vee}$ at primes $v$.

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