Freeness of arrangements of lines and one conic with ordinary quasi-homogeneous singularities

Abstract

The main purpose of the present paper is to provide a partial classification, performed with respect the weak-combinatorics, of free arrangements consisting of lines and one smooth conic with quasi-homogeneous ordinary singularities.

Version 3, 17 pages, 5 figures, the final version incorporating the reviewers' comments

References in corpus (2)

• On conic-line arrangements with nodes, tacnodes, and ordinary triple points
• $\mathcal{Q}$-conic arrangements in the complex projective plane

Cited by in corpus (1)

• On Poincaré polynomials for plane curves with quasi-homogeneous singularities