The weak Lefschetz property for Artinian Gorenstein algebras of codimension three
Commutative Algebra
2021-01-19 v1
Abstract
We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Ap\'ery set of a numerical semigroup generated by four natural numbers. We show that these algebras have the weak Lefschetz property whenever the initial degree of their defining ideal is small.
Keywords
Cite
@article{arxiv.1912.04866,
title = {The weak Lefschetz property for Artinian Gorenstein algebras of codimension three},
author = {Rosa Maria Miró-Roig and Quang Hoa Tran},
journal= {arXiv preprint arXiv:1912.04866},
year = {2021}
}
Comments
To appear in JPAA. 29 pages