On cubic-line arrangements with simple singularities
Algebraic Geometry
2024-03-27 v2 Combinatorics
Abstract
In the present note we study combinatorial and algebraic properties of cubic-line arrangements in the complex projective plane admitting nodes, ordinary triple and singular points. We deliver a Hirzebruch-type inequality for such arrangement and we study the freeness of such arrangements providing an almost complete classification.
Cite
@article{arxiv.2305.01530,
title = {On cubic-line arrangements with simple singularities},
author = {Przemysław Talar},
journal= {arXiv preprint arXiv:2305.01530},
year = {2024}
}
Comments
Version 2 incorporates the referee's remarks and comments