论文标题

二进制形式,谐波交叉比例和黄金比率的警告等级

Waring rank of binary forms, harmonic cross-ratio and golden ratio

论文作者

Dimca, Alexandru, Sticlaru, Gabriel

论文摘要

我们讨论了4和5的二进制形式的战争等级,没有多个因素,并指出了与谐波交叉比例,J-Invariants和黄金比率的意外关系。这些对二进制形式的排名计算的计算用于表明复杂射击平面中线排列的组合学的组合也不能确定定义方程的警告等级,即使在非常简单的情况下也是如此。

We discuss the Waring rank of binary forms of degree 4 and 5, without multiple factors, and point out unexpected relations to the harmonic cross-ratio, j-invariants and the golden ratio. These computations of ranks for binary forms are used to show that the combinatorics of a line arrangement in the complex projective plane does not determine the Waring rank of the defining equation even in very simple situations.

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