Construction of free arrangements using point-line operators

2024/03/29 by Pokora, Piotr, Roulleau, Xavier
#14C20 #14N25 #32S22 #52C35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.20024

Abstract

We construct new examples of free curve arrangements in the complex projective plane using point-line operators recently defined by the second author. In particular, we construct a new example of a conic-line arrangement with ordinary quasi-homogeneous singularities that has non-trivial monodromy.

Related

• Arrangements of inflectional lines, hyperosculating conics, and plane cubics
• On nearly free arrangements of lines with nodes and triple points
• On plus-one generated conic-line arrangements with simple singularities
• Freeness of arrangements of lines and one conic with ordinary quasi-homogeneous singularities
• Free line arrangements with low maximal multiplicity