On some freeness-type properties for line arrangements

Abstract

By way of Ziegler restrictions we study the relation between nearly free plane arrangements and combinatorics and we give a Yoshinaga-type criterion for plus-one generated plane arrangements.

20 pages. Minor changes.Theorem 1.4 restated in a stronger form. Accepted for publication in The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

References in corpus (3)

• Plane curves with three syzygies, minimal Tjurina curves curves, and nearly cuspidal curves
• Freeness and near freeness are combinatorial for line arrangements in small degrees
• Projective duality of arrangements with quadratic logarithmic vector fields