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arXiv · 2407.12572

A sharp bound on the number of self-intersections of a trigonometric curve

Sergei Kalmykov·Leonid V. Kovalev
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Abstract

We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is normal in the sense of Whitney.

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Sergei Kalmykov, Leonid V. Kovalev. 2024-07-17. A sharp bound on the number of self-intersections of a trigonometric curve. https://doi.org/10.1016/j.jmaa.2024.128995

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