Linear quotients of Artinian Weak Lefschetz algebras

DOI10.1016/j.jpaa.2013.01.009zbMath1283.13012OpenAlexW2094335718MaRDI QIDQ392134

Giuseppe Zappalá, Alfio Ragusa, Giuseppe Favacchio

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.01.009

zbMATH Keywords

Hilbert functionBetti numbersArtinian standard graded algebrasBetti Weak Lefschetz PropertyGeneric linear quotientsWeak Lefschetz Property

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the weak-Lefschetz property for Artinian Gorenstein algebras
• A tour of the weak and strong Lefschetz properties
• Deformation classes of graded modules and maximal Betti numbers
• Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• On the reducibility of the postulation Hilbert scheme
• The strength of the weak Lefschetz property
• PROPERTIES OF 3-CODIMENSIONAL GORENSTEIN SCHEMES
• The Geometry of the Weak Lefschetz Property and Level Sets of Points
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function

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