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 P2C. The criterion will be in terms of a first syzygy matrix associated with the Jacobian ideal Jf of f, where f = 0 is the equation of the plane curve C.
A Characterization of Quasi-homogeneous Singularities of Free and Nearly Free Plane Curves / Andrade, A. V.; Beorchia, V.; Miro-Roig, R. M.. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2025:1(2025), pp. rnae266.1-rnae266.21. [10.1093/imrn/rnae266]
A Characterization of Quasi-homogeneous Singularities of Free and Nearly Free Plane Curves
Beorchia V.
Secondo
;
2025-01-01
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 P2C. The criterion will be in terms of a first syzygy matrix associated with the Jacobian ideal Jf of f, where f = 0 is the equation of the plane curve C.File in questo prodotto:
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