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

Hal Schenck, Alexandra Seceleanu

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)2335-2339
Number of pages5
JournalProceedings of the American Mathematical Society
Volume138
Issue number7
DOIs
StatePublished - Jul 2010

Keywords

  • Artinian algebra
  • Powers of linear forms
  • Weak Lefschetz property

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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