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arXiv · 2407.05819

A characterization of quasi-homogeneous singularities of free and nearly free plane curves

Aline V. Andrade·Valentina Beorchia·Rosa M. Miró-Roig
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Abstract

The goal of this paper is to establish a new characterization of quasi-homogeneous isolated singularities of free curves and nearly free curves $C$ in $\mathbb{P}_\mathbb{C}^2$. The criterion will be in terms of a first syzygy matrix associated with the Jacobian ideal $J_f$ of $f$, where $f=0$ is the equation of the plane curve $C$.

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Aline V. Andrade, Valentina Beorchia, Rosa M. Miró-Roig. 2024-07-08. A characterization of quasi-homogeneous singularities of free and nearly free plane curves. https://arxiv.org/abs/2407.05819

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