On the Algebraicity of Polyquadratic Plectic Points-Reference-Cited by-同舟云学术

On the Algebraicity of Polyquadratic Plectic Points

Published:2023-05-10 Issue:22 Volume:2023 Page:19237-19265
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Fornea Michele¹,Gehrmann Lennart²

Affiliation:

1. Columbia University , New York, NY, USA

2. Universität Duisburg-Essen , Essen, Germany

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/22/19237/53636900/rnad091.pdf

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