The weak lefschetz property and powers of linear forms in K [x, y, z]

Hal Schenck; Alexandra Seceleanu

doi:10.1090/S0002-9939-10-10288-3

The weak lefschetz property and powers of linear forms in K [x, y, z]

Hal Schenck, Alexandra Seceleanu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that an Artinian quotient of an ideal I ⊆ K [x, y, z] generated by powers of linear forms has the Weak Lefschetz Property. If the syzygy bundle of I is semistable, the property follows from results of Brenner-Kaid. Our proof works without this hypothesis, which typically does not hold.

Original language	English (US)
Pages (from-to)	2335-2339
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-10-10288-3
State	Published - Jul 2010

Keywords

Artinian algebra
Powers of linear forms
Weak Lefschetz property

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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The weak lefschetz property and powers of linear forms in K [x, y, z]

Abstract

Keywords

ASJC Scopus subject areas

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