paper

Arrangements of inflectional lines, hyperosculating conics, and plane cubics

arXiv:2401.06560 · doi:10.4064/ba240119-22-5

Abstract

In the present note 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.