On Some Conjectures About Free and Nearly Free Divisors
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Publication:5267809
DOI10.1007/978-3-319-28829-1_1zbMath1386.14119arXiv1511.09254OpenAlexW2184722954MaRDI QIDQ5267809
Alejandro Melle-Hernández, Leire Gorrochategui, I. Luengo Velasco, Enrique Artal Bartolo
Publication date: 13 June 2017
Published in: Singularities and Computer Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.09254
Related Items (15)
A computational approach to Milnor fiber cohomology ⋮ Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers ⋮ Quasi-complete intersections in \(\mathbb{P}^2\) and syzygies ⋮ On the exponents of free and nearly free projective plane curves ⋮ Conic-line arrangements in the complex projective plane ⋮ On the jumping lines of bundles of logarithmic vector fields along plane curves ⋮ Jacobian schemes of conic-line arrangements and eigenschemes ⋮ On the minimal value of global Tjurina numbers for line arrangements ⋮ On the Hilbert vector of the Jacobian module of a plane curve ⋮ On 3-syzygy and unexpected plane curves ⋮ Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves ⋮ Freeness and invariants of rational plane curves ⋮ On rational cuspidal plane curves and the local cohomology of Jacobian rings ⋮ Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves ⋮ Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves
Uses Software
Cites Work
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- The local cohomology of the Jacobian ring
- Syzygies and logarithmic vector fields along plane curves
- On fundamental groups of plane curve complements
- Freeness of conic-line arrangements in \(\mathbb P^{2}\)
- Zariski pairs, fundamental groups and Alexander polynomials
- Free divisors and rational cuspidal plane curves
- Linear systems associated to unicuspidal rational plane curves
- Invariants and rigidity of projective hypersurfaces
- Free divisors in a pencil of curves
- ON RATIONAL CUSPIDAL PROJECTIVE PLANE CURVES
- Application of the theory of the discriminant to highly singular plane curves
- Fundamental Group for Some Cuspidal Curves
- Linear systems of rational curves on rational surfaces
- Rational cuspidal plane curves of type (d, d-3)
- Kummer covers and braid monodromy
- Freeness versus maximal global Tjurina number for plane curves
- More Zariski pairs and finite fundamental groups of curve complements
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