On nearly free arrangements of lines with nodes and triple points

TL;DR

This paper classifies nearly free arrangements of lines in the complex projective plane that feature nodes and triple points, advancing understanding of their geometric and algebraic properties.

Contribution

It offers a classification of nearly free line arrangements with specific singularities, a novel result in algebraic geometry.

Findings

Classification of nearly free arrangements with nodes and triple points

Identification of key geometric properties of these arrangements

Extension of known results in line arrangement theory

Abstract

We provide a classification result on nearly free arrangements of lines in the complex projective plane with nodes and triple points.