Betti tables forcing failure of the weak Lefschetz property

DOI10.1007/978-981-97-3886-1_8MaRDI QIDQ6645682

Sean Grate, Henry K. Schenck

Publication date: 28 November 2024

zbMATH Keywords

free resolutionsyzygyArtinian algebraLefschetz property

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• A tour of the weak and strong Lefschetz properties
• The Hilbert functions which force the Weak Lefschetz property
• Hilbert functions of graded algebras
• Unexpected hypersurfaces and where to find them
• Quartic unexpected curves and surfaces
• Unexpected curves arising from special line arrangements
• The strength of the weak Lefschetz property
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• Line arrangements and configurations of points with an unexpected geometric property
• The Geometry of the Weak Lefschetz Property and Level Sets of Points
• Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property
• Level algebras with bad properties
• Sets of points which project to complete intersections, and unexpected cones
• Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four

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