A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
Commutative Algebra
2023-02-22 v2
Abstract
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, Mir\'o-Roig, and Nagel.
Keywords
Cite
@article{arxiv.2010.01107,
title = {A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms},
author = {Mats Boij and Samuel Lundqvist},
journal= {arXiv preprint arXiv:2010.01107},
year = {2023}
}
Comments
15 pages. v2: clarifications and extra references. To appear in Algebra & Number Theory