Construction of free arrangements using point-line operators
Algebraic Geometry
2026-02-03 v2 Combinatorics
Abstract
We construct new examples of free curve arrangements in the complex projective plane using point-line operators recently defined by the second author. In particular, we construct a new example of a conic-line arrangement with ordinary quasi-homogeneous singularities that has non-trivial monodromy.
Cite
@article{arxiv.2403.20024,
title = {Construction of free arrangements using point-line operators},
author = {Piotr Pokora and Xavier Roulleau},
journal= {arXiv preprint arXiv:2403.20024},
year = {2026}
}
Comments
12 pages, one ancillary file, accepted for publication in Experimental Mathematics