Minimal plus-one generated line arrangements with double and triple intersection points

TL;DR

This paper classifies minimal plus-one generated line arrangements in the complex projective plane, focusing on arrangements with only double and triple intersection points, using weak-combinatorics.

Contribution

It offers a complete classification of such arrangements, advancing understanding of their combinatorial and geometric properties.

Findings

Complete classification of minimal plus-one generated line arrangements

Characterization of arrangements with double and triple intersection points

Use of weak-combinatorics for classification

Abstract

We provide a complete classification, in the language of weak-combinatorics, of minimal plus-one generated line arrangements in the complex projective plane with double and triple intersection points.