English

On the freeness of rational cuspidal plane curves

Algebraic Geometry 2019-09-17 v2 Commutative Algebra

Abstract

We bring additional support to the conjecture saying that a rational cuspidal plane curve is either free or nearly free. This conjecture was confirmed for curves of even degree, and in this note we prove it for many odd degrees. In particular, we show that this conjecture holds for the curves of degree at most 34.

Keywords

Cite

@article{arxiv.1802.06688,
  title  = {On the freeness of rational cuspidal plane curves},
  author = {Alexandru Dimca and Gabriel Sticlaru},
  journal= {arXiv preprint arXiv:1802.06688},
  year   = {2019}
}

Comments

v.2 minor changes