Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves - Archive ouverte HAL
Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2019

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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hal-01761548 , version 1 (25-10-2021)

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Alexandru Dimca, Gabriel Sticlaru. Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves. Journal of Pure and Applied Algebra, In press, Journal of Pure and Applied Algebra, ⟨10.1016/j.jpaa.2019.03.009⟩. ⟨hal-01761548⟩
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