PDF e-Pub

## Section: New Results

### Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves

Participant : Alexandru Dimca.

In [6] we describe the minimal resolution of the ideal ${I}_{f}$, the saturation of the Jacobian ideal of a nearly free plane curve $\left(C:f\right)=0$. In particular, it follows that this ideal ${I}_{f}$ can be generated by at most 4 polynomials. Some applications to rational cuspidal plane curves are given, and a natural related question is raised.

This is a joint work with Gabriel Sticlaru (Ovidius University of Constanta).