Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
From MaRDI portal
Publication:2267720
zbMath1200.13031arXiv0903.3581MaRDI QIDQ2267720
Junzo Watanabe, Toshiaki Maeno
Publication date: 1 March 2010
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3581
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Related Items (37)
The eigenvalues of Hessian matrices of the complete and complete bipartite graphs ⋮ Jordan types with small parts for Artinian Gorenstein algebras of codimension three ⋮ Developable cubics in \(\mathbb{P}^4\) and the Lefschetz locus in \(\operatorname{GOR}(1, 5, 5, 1)\) ⋮ A characterization of the Macaulay dual generators for quadratic complete intersections ⋮ Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property ⋮ Complete intersection Jordan types in height two ⋮ On higher Hessians and the Lefschetz properties ⋮ Lefschetz properties for higher order Nagata idealizations ⋮ The resultants of quadratic binomial complete intersections ⋮ Chow rings of matroids are Koszul ⋮ A theorem of Gordan and Noether via Gorenstein rings ⋮ On minimal Gorenstein Hilbert functions ⋮ The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets ⋮ CW-complex Nagata idealizations ⋮ Strict log-concavity of the Kirchhoff polynomial and its applications ⋮ Perazzo hypersurfaces and the weak Lefschetz property ⋮ Waring, tangential and cactus decompositions ⋮ Vanishing Hessian, wild forms and their border VSP ⋮ Waring problems and the Lefschetz properties ⋮ Lefschetz properties of some codimension three Artinian Gorenstein algebras ⋮ Perazzo 3-folds and the weak Lefschetz property ⋮ The Lefschetz elements of coinvariant algebras of binary polyhedral groups. ⋮ On the Hilbert function of Gorenstein algebras of socle degree four ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties ⋮ Determinants of incidence and Hessian matrices arising from the vector space lattice ⋮ The eigenvalues of the Hessian matrices of the generating functions for trees with \(k\) components ⋮ On mixed Hessians and the Lefschetz properties ⋮ Strictness of the log-concavity of generating polynomials of matroids ⋮ On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version) ⋮ Free extensions and Lefschetz properties, with an application to rings of relative coinvariants ⋮ The weak Lefschetz property for Artinian Gorenstein algebras of codimension three ⋮ Higher order Jacobians, Hessians and Milnor algebras ⋮ The Jordan type of graded Artinian Gorenstein algebras ⋮ Lefschetz properties for Artinian Gorenstein algebras presented by quadrics ⋮ Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property ⋮ Artinian algebras and Jordan type
Cites Work
- Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups
- On graded rings. I
- Hilbert functions of graded algebras
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- The strong Lefschetz property of the coinvariant ring of the Coxeter group of type \(H_{4}\)
- The Hilbert function of a level algebra
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- A nonunimodal graded gorenstein artin algebra in codimension five
- Associated graded algebra of a Gorenstein Artin algebra
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
