Monomial ideals, almost complete intersections and the Weak Lefschetz Property
Commutative Algebra
2009-01-28 v2 Algebraic Geometry
Abstract
Many algebras are expected to have the Weak Lefschetz property though this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of the ground field, and on arithmetic properties of the exponent vectors of the monomials.
Cite
@article{arxiv.0811.1023,
title = {Monomial ideals, almost complete intersections and the Weak Lefschetz Property},
author = {Juan C. Migliore and Rosa M. Miro-Roig and Uwe Nagel},
journal= {arXiv preprint arXiv:0811.1023},
year = {2009}
}
Comments
Slighty improved version