On the weak Lefschetz property for artinian Gorenstein algebras of codimension three
From MaRDI portal
Publication:2253004
DOI10.1016/j.jalgebra.2014.01.003zbMath1327.13061arXiv1302.5742OpenAlexW2962890684MaRDI QIDQ2253004
Mats Boij, Juan C. Migliore, Uwe Nagel, Fabrizio Zanello, Rosa Maria Miró-Roig
Publication date: 25 July 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5742
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Projective techniques in algebraic geometry (14N05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Varieties and morphisms (14A10) Positive characteristic ground fields in algebraic geometry (14G17)
Related Items
The weak Lefschetz property for monomial ideals of small type ⋮ The equations defining blowup algebras of height three Gorenstein ideals ⋮ On higher Hessians and the Lefschetz properties ⋮ Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four ⋮ Free resolutions of Artinian compressed algebras ⋮ The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets ⋮ Lefschetz properties of some codimension three Artinian Gorenstein algebras ⋮ On the weak Lefschetz property for vector bundles on \(\mathbb{P}^2\) ⋮ 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 ⋮ Syzygy bundles and the weak Lefschetz property of monomial almost complete intersections ⋮ Level algebras through Buchsbaum* manifolds ⋮ Exact pairs of homogeneous zero divisors ⋮ The weak Lefschetz property for Artinian Gorenstein algebras of codimension three ⋮ The Lefschetz question for ideals generated by powers of linear forms in few variables ⋮ The Jordan type of graded Artinian Gorenstein algebras ⋮ Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property ⋮ Unimodality of partitions with distinct parts inside Ferrers shapes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Trivariate monomial complete intersections and plane partitions
- Monomial complete intersections, the weak Lefschetz property and plane partitions
- The Hesse pencil of plane cubic curves
- The Hilbert functions which force the Weak Lefschetz property
- Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
- Bounds and asymptotic minimal growth for Gorenstein Hilbert functions
- The number of faces of a simplicial convex polytope
- Extending the idea of compressed algebra to arbitrary socle-vectors.
- Quaternionic geometry of matroids
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- Ideals of general forms and the ubiquity of the weak Lefschetz property.
- Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence
- The weak Lefschetz property, monomial ideals, and lozenges
- The Lefschetz properties of monomial complete intersections in positive characteristic
- The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
- Some algebraic consequences of Green's hyperplane restriction theorems
- The Lefschetz properties
- Interval conjectures for level Hilbert functions
- A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
- The strength of the weak Lefschetz property
- Monomial ideals, almost complete intersections and the Weak Lefschetz property
- Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
- Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
- On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
- Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property
- Laplace Equations and the Weak Lefschetz Property
- Combinatorics and commutative algebra