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arXiv · 2203.15998

On the algebraicity of polyquadratic plectic points

Michele Fornea·Lennart Gehrmann
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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 to analytic and algebraic ranks of elliptic curves.

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Michele Fornea, Lennart Gehrmann. 2022-03-30. On the algebraicity of polyquadratic plectic points. https://arxiv.org/abs/2203.15998

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