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On the Algebraicity of Polyquadratic Plectic Points

On the Algebraicity of Polyquadratic Plectic Points

Abstract We establish direct evidence of the arithmetic significance of plectic Stark–Heegner points for elliptic curves of arbitrarily large rank. The main contribution is a proof of the algebraicity of plectic points associated to polyquadratic CM extensions of totally real number fields. Moreover, we relate the non-vanishing of plectic points …