Nearly free divisors and rational cuspidal curves
Algebraic Geometry
2015-06-03 v3 Commutative Algebra
Abstract
We define a class of plane curves which are close to the free divisors and such that conjecturally it contains the class of rational cuspidal curves. Using a recent result by U. Walther we show that any unicuspidal rational curve with a unique Puiseux pair is either free or belongs to this class.
Keywords
Cite
@article{arxiv.1505.00666,
title = {Nearly free divisors and rational cuspidal curves},
author = {Alexandru Dimca and Gabriel Sticlaru},
journal= {arXiv preprint arXiv:1505.00666},
year = {2015}
}
Comments
v3: title modified and the topological results strengthened. In particular, any rational cuspidal curve whose degree is either even or a prime power, or which has an abelian group, is a nearly free divisor