The weak Lefschetz property of equigenerated monomial ideals

DOI10.1016/j.jalgebra.2020.02.020zbMath1457.13042arXiv1807.02138OpenAlexW3014934786MaRDI QIDQ2178500

Nasrin Altafi, Mats Boij

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1807.02138

zbMATH Keywords

group actionsmonomial idealsweak Lefschetz property

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

Togliatti systems associated to the dihedral group and the weak Lefschetz property ⋮ Monomial ideals and the failure of the strong Lefschetz property ⋮ On the Lefschetz property for quotients by monomial ideals containing squares of variables ⋮ Forcing the weak Lefschetz property for equigenerated monomial ideals ⋮ Lefschetz properties of monomial algebras with almost linear resolution

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• The minimal number of generators of a Togliatti system
• Introduction to arithmetical functions
• Togliatti systems and Galois coverings
• The combinatorics of a three-line circulant determinant
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• 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
• On the coefficients of the permanent and the determinant of a circulant matrix: Applications
• Laplace Equations and the Weak Lefschetz Property
• Singular hypersurfaces characterizing the Lefschetz properties