Work

A Characterization of Quasi-homogeneous Singularities of Free and Nearly Free Plane Curves

Year: 2024

Type: article

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 $C$.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae266

Authors: Aline V Andrade, Valentina Beorchia, Rosa M Miró-Roig

Institutions: Universidade Federal de Minas Gerais, University of Trieste, Universitat de Barcelona

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni