Arrangements of inflectional lines, hyperosculating conics, and plane cubics
Volume 72 / 2024
Bulletin Polish Acad. Sci. Math. 72 (2024), 61-66
MSC: Primary 14N25; Secondary 14C20, 32S25
DOI: 10.4064/ba240119-22-5
Published online: 19 June 2024
Abstract
We study some arrangements of inflectional lines, hyperosculating conics, and a nodal plane cubic that are free. Moreover, we study weak combinatorics of arrangements consisting of lines, conics, and elliptic curves, providing natural constraints on them.