The strong Lefschetz property in codimension two

DOI10.1216/JCA-2014-6-3-323zbMath1303.13019arXiv1301.7614OpenAlexW2963254485MaRDI QIDQ471975

David II Cook

Publication date: 18 November 2014

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7614

zbMATH Keywords

lexsegment idealscodim 2strong Leftschetz property

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (1)

Artinian algebras and Jordan type

Cites Work

• A tour of the weak and strong Lefschetz properties
• On the weak Lefschetz property for powers of linear forms
• Monomial complete intersections, the weak Lefschetz property and plane partitions
• The Hilbert functions which force the Weak Lefschetz property
• Pairs of commuting nilpotent matrices, and Hilbert function
• Forcing the strong Lefschetz and the maximal rank properties
• Description de Hilb sup(n) C{X,Y}
• The geometric interpretation of Fröberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Ideals of general forms and the ubiquity of the weak Lefschetz property.
• The Lefschetz properties of monomial complete intersections in positive characteristic
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Associated graded algebra of a Gorenstein Artin algebra
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• Monomial Ideals
• On the shape of a pure 𝑂-sequence
• On the Vector Representations of Induced Matroids
• Enumeration of Lozenge tilings of hexagons with a central triangular hole

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