On plus-one generated conic-line arrangements with simple singularities

TL;DR

This paper investigates specific geometric arrangements of conics and lines in the complex projective plane, focusing on their algebraic properties and classifying them based on degree, with explicit examples provided.

Contribution

It offers a degree-wise classification of plus-one generated conic-line arrangements with simple singularities and constructs explicit examples, advancing understanding of their structure.

Findings

Classification results for arrangements by degree

Explicit examples of plus-one generated arrangements

Insights into simple singularities in these arrangements

Abstract

In this paper we study plus-one generated arrangements of conics and lines in the complex projective plane with simple singularities. We provide several degree-wise classification results that allow us to construct explicit examples of such arrangements.