Ideals of general forms and the ubiquity of the weak Lefschetz property.
From MaRDI portal
Publication:1812032
DOI10.1016/S0022-4049(02)00314-6zbMath1041.13011arXivmath/0205133OpenAlexW2115684189MaRDI QIDQ1812032
Juan C. Migliore, Rosa Maria Miró-Roig
Publication date: 18 June 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0205133
Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Structure, classification theorems for modules and ideals in commutative rings (13C05) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items
Level algebras with bad properties ⋮ The weak Lefschetz property for monomial ideals of small type ⋮ Complete intersections on general hypersurfaces ⋮ Star-Configurations in ℙ2Having Generic Hilbert Function and the Weak Lefschetz Property ⋮ Hilbert Series of Generic Ideals in Products of Projective Spaces ⋮ Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Orderm ⋮ A non-unimodal codimension 3 level \(h\)-vector ⋮ The minimal number of generators of a Togliatti system ⋮ The strength of the weak Lefschetz property ⋮ Some geometric results arising from the Borel fixed property ⋮ On the classification of Togliatti systems ⋮ The Hilbert functions which force the Weak Lefschetz property ⋮ Unnamed Item ⋮ The EGH Conjecture and the Sperner property of complete intersections ⋮ The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets ⋮ The Lefschetz properties of monomial complete intersections in positive characteristic ⋮ Globally generated vector bundles and the weak Lefschetz property ⋮ Conditions for generic initial ideals to be almost reverse lexicographic ⋮ Ordinary curves, webs and the ubiquity of the weak Lefschetz property ⋮ The strong Lefschetz property in codimension two ⋮ The Minimal Free Resolution of a Fat Star-Configuration in ℙn ⋮ A note on Fröberg's conjecture for forms of equal degrees ⋮ On the structure of monomial complete intersections in positive characteristic ⋮ On the weak Lefschetz property for artinian Gorenstein algebras of codimension three ⋮ Minimal resolution of relatively compressed level algebras ⋮ Syzygies of semi-regular sequences ⋮ The geometric interpretation of Fröberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space ⋮ Generic sequences of polynomials ⋮ Unnamed Item ⋮ Reducible family of height three level algebras ⋮ Forcing the strong Lefschetz and the maximal rank properties ⋮ A class of Hilbert series and the strong Lefschetz property ⋮ Monomial ideals, almost complete intersections and the Weak Lefschetz property ⋮ Star-Configurations in ℙnand the Weak-Lefschetz Property ⋮ Algebraic stories from one and from the other pockets ⋮ A note on a conjecture regarding the weak Lefschetz property of a special class of Artinian algebras ⋮ The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙnHaving the Weak Lefschetz Property ⋮ Stability of the tangent bundles of complete intersections and effective restriction
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Dilworth number of Artin Gorenstein rings
- Thin algebras of embedding dimension three
- Introduction to liaison theory and deficiency modules
- Gale duality and free resolutions of ideals of points
- The minimal resolution conjecture
- Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers.
- 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
- Hilbert series of a quotient algebra of polynomials
- Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
- Syzygies of semi-regular sequences
- On the ubiquity of Gorenstein rings
- On the minimal free resolution of $n+1$ general forms
- Gorenstein Algebras and the Cayley-Bacharach Theorem
- An inequality for Hilbert series of graded algebras.
- THE LINEAR SYZYGIES OF GENERIC FORMS
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
- A note on complete intersections of height three
- A Note on Gorenstein Rings of Embedding Codimension Three