Lefschetz properties for complete intersection ideals generated by products of linear forms

DOI10.1090/proc/14009zbMath1394.13021arXiv1708.01990OpenAlexW2964312669MaRDI QIDQ4563640

Martina Juhnke-Kubitzke, Akihito Wachi, Satoshi Murai, Rosa Maria Miró-Roig

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01990

zbMATH Keywords

complete intersectionmonomial idealsstrong Lefschetz propertyinitial idealsHilbert function.

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13)

Related Items

The strong Lefschetz property for complete intersections defined by products of linear forms ⋮ On decomposing monomial algebras with the Lefschetz properties

Uses Software

• Macaulay2

Cites Work

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• A tour of the weak and strong Lefschetz properties
• On the weak Lefschetz property for powers of linear forms
• Lefschetz property and powers of linear forms in \(\mathbb{K}[x,y,z\)]
• The Lefschetz properties
• Harbourne, Schenck and Seceleanu's conjecture
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
• The weak Lefschetz property and powers of linear forms in 𝕂[𝕩,𝕪,𝕫]
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• On Complete Intersections and Their Hilbert Functions
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• On the Eisenbud-Green-Harris conjecture