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

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 to give a classification of the Weak Lefschetz property for these algebras, settling a conjecture by Migliore, Miró-Roig, and Nagel....

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Bibliographic Details
Published in:arXiv.org 2022-03
Main Authors: Boij, Mats, Lundqvist, Samuel
Format: Article
Language:English
Subjects:
Classification
Intersections
Online Access:Get full text
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Summary: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 to give a classification of the Weak Lefschetz property for these algebras, settling a conjecture by Migliore, Miró-Roig, and Nagel.
ISSN:2331-8422
DOI:10.48550/arxiv.2010.01107