English

Free divisors and rational cuspidal plane curves

Algebraic Geometry 2019-09-17 v4 Commutative Algebra

Abstract

A characterization of freeness for plane curves in terms of the Hilbert function of the associated Milnor algebra is given as well as many new examples of rational cuspidal curves which are free. Some stronger properties are stated as conjectures.

Keywords

Cite

@article{arxiv.1504.01242,
  title  = {Free divisors and rational cuspidal plane curves},
  author = {Alexandru Dimca and Gabriel Sticlaru},
  journal= {arXiv preprint arXiv:1504.01242},
  year   = {2019}
}

Comments

version 4: a misprint in the conjecture added yesterday is corrected

R2 v1 2026-06-22T09:10:39.069Z