On the Algebraicity of Polyquadratic Plectic Points
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Publication:6182634
DOI10.1093/IMRN/RNAD091arXiv2203.15998OpenAlexW4376135863MaRDI QIDQ6182634
Lennart Gehrmann, Michele Fornea
Publication date: 25 January 2024
Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2203.15998
Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) Elliptic and modular units (11G16)
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