On combinatorics of plus-one generated line arrangements
Algebraic Geometry
2025-10-16 v3 Combinatorics
Abstract
In this note we focus on combinatorial aspects of plus-one generated line arrangements. We provide combinatorial constraints on such arrangements and we construct a polynomial that decodes the plus-one generated property. We present new examples of plus-one generated arrangements constructed by using classical Klein and Wiman reflection arrangements, and we detect, among all known sporadic simplicial arrangements up to lines, exactly arrangements that are minimal plus-one generated.
Cite
@article{arxiv.2411.17317,
title = {On combinatorics of plus-one generated line arrangements},
author = {Artur Bromboszcz},
journal= {arXiv preprint arXiv:2411.17317},
year = {2025}
}
Comments
version 3, 14 pages