A characterization of quasi-homogeneous singularities of free and nearly free plane curves
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908144092839936 |
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| author | Andrade, Aline V. Beorchia, Valentina Miró-Roig, Rosa M. |
| author_facet | Andrade, Aline V. Beorchia, Valentina Miró-Roig, Rosa M. |
| contents | 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 $C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05819 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A characterization of quasi-homogeneous singularities of free and nearly free plane curves Andrade, Aline V. Beorchia, Valentina Miró-Roig, Rosa M. Algebraic Geometry Primary 14H50, Secondary 14B05, 13C40, 13D02, 32S22, 15A69 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 $C$. |
| title | A characterization of quasi-homogeneous singularities of free and nearly free plane curves |
| topic | Algebraic Geometry Primary 14H50, Secondary 14B05, 13C40, 13D02, 32S22, 15A69 |
| url | https://arxiv.org/abs/2407.05819 |