English

Arrangements of inflectional lines, hyperosculating conics, and plane cubics

Algebraic Geometry 2025-09-12 v2

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.

Keywords

Cite

@article{arxiv.2401.06560,
  title  = {Arrangements of inflectional lines, hyperosculating conics, and plane cubics},
  author = {Artur Bromboszcz},
  journal= {arXiv preprint arXiv:2401.06560},
  year   = {2025}
}