A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
arXiv:2010.01107 · doi:10.2140/ant.2023.17.111
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, Miró-Roig, and Nagel.
15 pages. v2: clarifications and extra references. To appear in Algebra & Number Theory