On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms

DOI10.1016/j.jalgebra.2019.12.029zbMath1434.14005arXiv2001.06143OpenAlexW3004072016MaRDI QIDQ2300481

Quang Hoa Tran, Rosa Maria Miró-Roig

Publication date: 27 February 2020

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

Full work available at URL: https://arxiv.org/abs/2001.06143

zbMATH Keywords

weak Lefschetz propertygeneral linear formsArtinian algebraspowers of linear formsalmost complete intersectionslinear systems of general points

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Divisors, linear systems, invertible sheaves (14C20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms ⋮ The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
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