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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Tohoku Mathematical Journal

سال: 2022

ISSN: ['2186-585X', '0040-8735', '1881-2015']

DOI: https://doi.org/10.2748/tmj.20210525