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math.NT2013
Realising the cup-product of local Tate duality
Rachel Newton
We present an explicit description, in terms of central simple algebras, of a cup-product map which occurs in the statement of local Tate duality for Galois modules of prime order…
math.NT2013
Computing the Cassels-Tate pairing on the 3-Selmer group of an elliptic curve
Tom Fisher, Rachel Newton
We extend the method of Cassels for computing the Cassels-Tate pairing on the 2-Selmer group of an elliptic curve, to the case of 3-Selmer groups. This requires significant modific…