论文标题

部分可观测时空混沌系统的无模型预测

On the algebraicity of polyquadratic plectic points

论文作者

Fornea, Michele, Gehrmann, Lennart

论文摘要

我们直接建立了盘状鲜明曲线曲线点对任意较大等级的椭圆形曲线的算术意义的直接证据。主要贡献是证明与完全真实数字字段的多峰CM扩展相关的五核点的代数。此外,我们将盘状点的非变化与椭圆曲线的分析和代数等级联系起来。

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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