On free line arrangements with double, triple and quadruple points
Algebraic Geometry
2025-10-01 v2 Combinatorics
Abstract
We show that there are only finitely many combinatorial types of free real line arrangements with only double, triple and quadruple intersection points, and we enlist all admissible weak-combinatorics of them. Then we classify all real -line arrangements. In particular, we show that real -line arrangements are simplicial.
Keywords
Cite
@article{arxiv.2504.05872,
title = {On free line arrangements with double, triple and quadruple points},
author = {Marek Janasz and Izabela Leśniak},
journal= {arXiv preprint arXiv:2504.05872},
year = {2025}
}
Comments
12 pages, comments welcome