Higher order Jacobians, Hessians and Milnor algebras

DOI10.1007/s13348-019-00266-1zbMath1448.13003arXiv1902.09146OpenAlexW2976789219MaRDI QIDQ785505

Giovanna Ilardi, Alexandru Dimca, Rodrigo Gondim

Publication date: 7 August 2020

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09146

zbMATH Keywords

HessianGauss mapHilbert functionsJacobian idealMilnor algebraLefschetz propertiesMacaulay-Matlis dualitypolar mappingstandard graded Artinian Gorenstein algebras

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Combinatorial aspects of commutative algebra (05E40)

Related Items (7)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ On the weak Lefschetz property for height four equigenerated complete intersections ⋮ A theorem of Gordan and Noether via Gorenstein rings ⋮ On Homogeneous Polynomials Determined by their Partial Derivatives ⋮ Lefschetz properties for Jacobian rings of cubic fourfolds and other Artinian algebras ⋮ Waring problems and the Lefschetz properties ⋮ Artinian algebras and Jordan type

Uses Software

• CoCoA

Cites Work

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