Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves
Résumé
In this note we describe the minimal resolution of the ideal $I_f$, the saturation of the Jacobian ideal of a nearly free plane curve $C:f=0$. 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.
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