Some algebras with the weak Lefschetz property
Commutative Algebra
2016-06-07 v1 Combinatorics
Abstract
Using a connection to lozenge tilings of triangular regions, we establish an easily checkable criterion that guarantees the weak Lefschetz property of a quotient by a monomial ideal. It is also shown that each such ideal also has a semistable syzygy bundle.
Cite
@article{arxiv.1606.01812,
title = {Some algebras with the weak Lefschetz property},
author = {David Cook and Uwe Nagel},
journal= {arXiv preprint arXiv:1606.01812},
year = {2016}
}
Comments
Dedicated to Winfried Bruns at the occasion of his 70th birthday; 10 pages