Monomial ideals and the failure of the strong Lefschetz property

DOI10.1007/s13348-021-00324-7zbMath1498.13001arXiv2107.00497OpenAlexW3176743063MaRDI QIDQ2164946

Samuel Lundqvist, Nasrin Altafi

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2107.00497

zbMATH Keywords

Hilbert seriesinverse systemmonomial idealsgeneric formsLefschetz properties

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Uses Software

• Macaulay2
• MaximalRankProperties

Cites Work

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• The weak Lefschetz property of equigenerated monomial ideals
• A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
• Alcune osservazioni sulle superficie razionali che rappresentano equazioni di Laplace
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
• Laplace Equations and the Weak Lefschetz Property

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