Jacobian ideals, arrangements and the Lefschetz properties

DOI10.1016/j.jalgebra.2018.04.029zbMath1390.13056OpenAlexW2801470879MaRDI QIDQ1643550

Giovanna Ilardi

Publication date: 19 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.04.029

zbMATH Keywords

arrangementsLefschetz propertiesJacobian ideals

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Divisors, linear systems, invertible sheaves (14C20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Projective differential geometry (53A20) Configurations and arrangements of linear subspaces (14N20)

Related Items

Lefschetz properties and hyperplane arrangements, On the weak Lefschetz property for height four equigenerated complete intersections, A theorem of Gordan and Noether via Gorenstein rings, On the jumping lines of bundles of logarithmic vector fields along plane curves, Lefschetz properties for Jacobian rings of cubic fourfolds and other Artinian algebras, Companion varieties for Hesse, Hesse union dual Hesse arrangements, On the Hilbert vector of the Jacobian module of a plane curve, Unexpected hypersurfaces and where to find them, Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves, Higher order Jacobians, Hessians and Milnor algebras, Line arrangements and configurations of points with an unexpected geometric property

Uses Software

• Macaulay2

Cites Work

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