The weak Lefschetz property and powers of linear forms in 𝕂[𝕩,𝕪,𝕫]

DOI10.1090/S0002-9939-10-10288-3zbMath1192.13013arXiv0911.0876MaRDI QIDQ3574807

Henry K. Schenck, Alexandra Seceleanu

Publication date: 2 July 2010

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

Full work available at URL: https://arxiv.org/abs/0911.0876

zbMATH Keywords

weak Lefschetz propertyArtinian algebrapowers of linear forms

Mathematics Subject Classification ID

Related Items (11)

Harbourne, Schenck and Seceleanu's conjecture ⋮ Lefschetz properties for complete intersection ideals generated by products of linear forms ⋮ On the strong Lefschetz problem for uniform powers of general linear forms in 𝑘[𝑥,𝑦,𝑧] ⋮ A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms ⋮ Lefschetz properties of some codimension three Artinian Gorenstein algebras ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Unexpected hypersurfaces and where to find them ⋮ Lefschetz property and powers of linear forms in \(\mathbb{K}[x,y,z\)] ⋮ On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms ⋮ The Lefschetz question for ideals generated by powers of linear forms in few variables ⋮ Interpolation and the weak Lefschetz property

Cites Work

• Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
• Looking out for stable syzygy bundles
• Vector bundles on complex projective spaces
• Fat points, inverse systems, and piecewise polynomial functions
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• THE LINEAR SYZYGIES OF GENERIC FORMS

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