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

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چکیده

We use Macaulay's inverse system to study the Hilbert series for almost complete intersections generated by uniform powers of general linear forms. This allows us give a classification Weak Lefschetz property these algebras, settling conjecture Migliore, Mir\'o-Roig, and Nagel.

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ژورنال

عنوان ژورنال: Algebra & Number Theory

سال: 2023

ISSN: ['1944-7833', '1937-0652']

DOI: https://doi.org/10.2140/ant.2023.17.111