The Weak Lefschetz Property and powers of linear forms in K[x,y,z]
Commutative Algebra
2012-01-31 v1 Algebraic Geometry
Abstract
We show that an Artinian quotient of K[x, y, z] by an ideal I generated by powers of linear forms has the Weak Lefschetz property. If the syzygy bundle of I is semistable this follows from results of Brenner-Kaid; our proof works without this hypothesis, which typically does not hold.
Keywords
Cite
@article{arxiv.0911.0876,
title = {The Weak Lefschetz Property and powers of linear forms in K[x,y,z]},
author = {Hal Schenck and Alexandra Seceleanu},
journal= {arXiv preprint arXiv:0911.0876},
year = {2012}
}
Comments
5 pages, to appear in PAMS