2022/03/30 by Fornea, Michele, Gehrmann, Lennart
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2203.15998
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.