Lefschetz properties and hyperplane arrangements

Elisa Palezzato, Michele Torielli

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in the Artinian case hold also in this more general setting. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.

Original languageEnglish (US)
Pages (from-to)289-304
Number of pages16
JournalJournal of Algebra
Volume555
DOIs
StatePublished - Aug 1 2020
Externally publishedYes

Keywords

  • Almost revlex
  • Hyperplane arrangement
  • Strong Lefschetz property
  • Weak Lefschetz property

ASJC Scopus subject areas

  • Algebra and Number Theory

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