On the weak Lefschetz property for Hilbert functions of almost complete intersections

DOI10.1007/s13348-011-0053-9zbMath1282.13032arXiv1003.4106OpenAlexW2152867595MaRDI QIDQ1944721

Alfio Ragusa, Giuseppe Zappalá

Publication date: 27 March 2013

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

Full work available at URL: https://arxiv.org/abs/1003.4106

zbMATH Keywords

Hilbert functionGorenstein ringsLiaison theoryAlmost complete intersectionweak Lefschetz sequence

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

• The Hilbert functions which force the Weak Lefschetz property
• Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
• Liaison des variétés algébriques. I
• Hilbert functions of graded algebras
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
• The weak Lefschetz property, monomial ideals, and lozenges
• PROPERTIES OF 3-CODIMENSIONAL GORENSTEIN SCHEMES
• On Complete Intersections Contained in Cohen-Macaulay and Gorenstein Ideals
• The Geometry of the Weak Lefschetz Property and Level Sets of Points
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3

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