On some conjectures about free and nearly free divisors
Algebraic Geometry
2018-05-04 v1
Abstract
In this paper infinite families of examples of irreducible free and nearly free curves in the complex projective plane which are not rational curves and whose local singularites can have an arbitrary number of branches are given. All these examples answer negatively to some conjectures proposed by A. Dimca and G. Sticlaru. Our examples say nothing about the most remarkable conjecture by A. Dimca and G. Sticlaru, i.e. every rational cuspidal plane curve is either free or nearly free.
Keywords
Cite
@article{arxiv.1511.09254,
title = {On some conjectures about free and nearly free divisors},
author = {Enrique Artal Bartolo and Leire Gorrochategui and Ignacio Luengo and Alejandro Melle-Hernández},
journal= {arXiv preprint arXiv:1511.09254},
year = {2018}
}
Comments
20 pages