On combinatorics of plus-one generated line arrangements
arXiv:2411.17317
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.
version 3, 14 pages