A sharp bound on the number of self-intersections of a trigonometric curve
Complex Variables
2024-12-10 v1
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.
Cite
@article{arxiv.2407.12572,
title = {A sharp bound on the number of self-intersections of a trigonometric curve},
author = {Sergei Kalmykov and Leonid V. Kovalev},
journal= {arXiv preprint arXiv:2407.12572},
year = {2024}
}