On the Hilbert vector of the Jacobian module of a plane curve
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Publication:2211441
DOI10.4171/PM/2038zbMath1451.14092arXiv1905.04055MaRDI QIDQ2211441
Armando Cerminara, Giovanna Ilardi, Alexandru Dimca
Publication date: 11 November 2020
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.04055
Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Syzygies, resolutions, complexes and commutative rings (13D02) Singularities of curves, local rings (14H20)
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On 3-syzygy and unexpected plane curves ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves
Cites Work
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- The local cohomology of the Jacobian ring
- Syzygies and logarithmic vector fields along plane curves
- Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves
- Vector bundles on complex projective spaces
- Stable vector bundles of rank 2 on \(P^ 3\)
- Jacobian ideals, arrangements and the Lefschetz properties
- Free divisors and rational cuspidal plane curves
- Free and nearly free curves vs. rational cuspidal plane curves
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- Plane Cremona maps: saturation and regularity of the base ideal
- Homology of homogeneous divisors
- On the jumping lines of bundles of logarithmic vector fields along plane curves
- On rational cuspidal plane curves and the local cohomology of Jacobian rings
- Quasi-complete intersections and global Tjurina number of plane curves
- Line and rational curve arrangements, and Walther's inequality
- The Lefschetz properties
- Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections
- The depth of the Jacobian ring of a homogeneous polynomial in three variables
- Application of the theory of the discriminant to highly singular plane curves
- Splitting types of bundles of logarithmic vector fields along plane curves
- Koszul Complexes and Pole Order Filtrations
- On Some Conjectures About Free and Nearly Free Divisors
- Freeness versus maximal global Tjurina number for plane curves
- Syzygies of Jacobian ideals and defects of linear systems
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