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

Autor:	Andrade, Aline V., Beorchia, Valentina, Miró-Roig, Rosa M.
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Primary 14H50 Secondary 14B05 13C40 13D02 32S22 15A69
Druh dokumentu:	Working Paper
Popis:	The goal of this paper is to establish a new and efficient characterization of quasi-homogeneous isolated singularities of free curves and nearly free curves $C$ in $\mathbb{P}^2$. The criterion will be in terms of the first syzygy matrix associated with the Jacobian ideal of $f$ where $f=0$ is the equation of the plane curve $C$. Comment: 20 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.05819 Zobrazit plný text záznamu View this record from Arxiv