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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 If, the saturation of the Jacobian ideal of a nearly free plane curve (C:f)=0. In particular, it follows that this ideal If 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).