Freeness versus maximal global Tjurina number for plane curves
From MaRDI portal
Publication:5360457
DOI10.1017/S0305004116000803zbMath1387.14080arXiv1508.04954OpenAlexW1924499035MaRDI QIDQ5360457
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04954
Plane and space curves (14H50) Syzygies, resolutions, complexes and commutative rings (13D02) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)
Related Items
Freeness versus maximal degree of the singular subscheme for surfaces in \(\mathbb {P}^3\), On plane conic arrangements with nodes and tacnodes, Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers, On conic-line arrangements with nodes, tacnodes, and ordinary triple points, On the nearly freeness of conic-line arrangements with nodes, tacnodes, and ordinary triple points, Splitting types of bundles of logarithmic vector fields along plane curves, On the exponents of free and nearly free projective plane curves, On the jumping lines of bundles of logarithmic vector fields along plane curves, Jacobian schemes of conic-line arrangements and eigenschemes, On nearly free arrangements of lines with nodes and triple points, Unexpected curves in \(\mathbb{P}^2\), line arrangements, and minimal degree of Jacobian relations, On the minimal value of global Tjurina numbers for line arrangements, On the Hilbert vector of the Jacobian module of a plane curve, Numerical invariants and moduli spaces for line arrangements, Plane polar Cremona maps of arbitrarily large degree in positive characteristic, Free and nearly free curves from conic pencils, On supersolvable and nearly supersolvable line arrangements, Freeness and invariants of rational plane curves, On rational cuspidal plane curves and the local cohomology of Jacobian rings, Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements, Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves, Quasi-complete intersections and global Tjurina number of plane curves, Freeness for 13 lines arrangements is combinatorial, Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves, Line and rational curve arrangements, and Walther's inequality, The 21 Reducible Polars of Klein’s Quartic, Versality, Bounds of Global Tjurina Numbers and Logarithmic Vector Fields Along Hypersurfaces with Isolated Singularities, Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves, On Some Conjectures About Free and Nearly Free Divisors
Cites Work
- Unnamed Item
- Unnamed Item
- Freeness versus maximal degree of the singular subscheme for surfaces in \(\mathbb {P}^3\)
- The local cohomology of the Jacobian ring
- Syzygies and logarithmic vector fields along plane curves
- Curves in \(P^2(\mathbb{C})\) with 1-dimensional symmetry
- Elementary modifications and line configurations in \(\mathbb P^2\)
- Free and nearly free surfaces in \(\mathbb{P}^3\)
- On the exponents of free and nearly free projective plane curves
- Free divisors and rational cuspidal plane curves
- Homology of homogeneous divisors
- Freeness of hyperplane arrangements and related topics
- Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections
- Application of the theory of the discriminant to highly singular plane curves
- Koszul Complexes and Hypersurface Singularities
- The Geometry of Syzygies
- Syzygies of Jacobian ideals and defects of linear systems