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Article Dans Une Revue Tohoku mathematical journal Année : 2022

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

Résumé

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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hal-03531092 , version 1 (18-01-2022)

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Alexandru Dimca, Gabriel Sticlaru. Waring rank of binary forms, harmonic cross-ratio and golden ratio. Tohoku mathematical journal, inPress. ⟨hal-03531092⟩
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