On free line arrangements with double, triple and quadruple points
Marek Janasz, Izabela Leśniak
Published: 2025/4/8
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 $M$-line arrangements. In particular, we show that real $M$-line arrangements are simplicial.