Some algebras with the weak Lefschetz property

David Cook, Uwe Nagel

Research output: Contribution to journalArticlepeer-review


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 in three variables. It is also shown that each such ideal also has a semistable syzygy bundle.

Original languageEnglish
Pages (from-to)69-80
Number of pages12
JournalSpringer INdAM Series
StatePublished - 2017

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG.


  • Determinants
  • Lozenge tiling
  • Monomial ideal
  • Perfect matching
  • Semistable syzygy bundle
  • Weak Lefschetz property

ASJC Scopus subject areas

  • General Mathematics


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