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

@inproceedings{Dimca2019SaturationOJ,
  title={Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves},
  author={Alexandru Dimca and Gabriel Sticlaru},
  year={2019}
}
In this note 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. Related general results by Hassanzadeh and Simis on the saturation of codimension 2 ideals are discussed in detail. Some applications to rational cuspidal plane curves and to line arrangements are also given. 

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