二进制形式的Waring秩、调和交比和黄金比

IF 0.4 4区数学 Q4 MATHEMATICS Tohoku Mathematical Journal Pub Date : 2020-02-13 DOI:10.2748/tmj.20210525

A. Dimca, Gabriel Sticlaru

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引用次数: 1

摘要

我们讨论了不含多重因子的4次和5次二元形式的Waring秩，并指出了与调和交比、j不变量和黄金比的意外关系。这些二元形式秩的计算用于表明，即使在非常简单的情况下，复杂投影平面中的线排列的组合数学也不能确定定义方程的Waring秩。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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