Localization of plus-one generated arrangements

Elisa Palezzato, Michele Torielli

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We study the classes of free and plus-one generated hyperplane arrangements. Specifically, we describe how to compute the associated prime ideals of the Jacobian ideal of such an arrangement from its lattice of intersection. Moreover, we prove that the localization of a plus-one generated arrangement is free or plus-one generated.

Original languageEnglish (US)
Pages (from-to)301-309
Number of pages9
JournalCommunications in Algebra
Volume49
Issue number1
DOIs
StatePublished - 2020
Externally publishedYes

Keywords

  • 32S22
  • 52C35
  • Associated prime ideal
  • freeness
  • hyperplane arrangements
  • localization of arrangements
  • plus-one generated arrangement

ASJC Scopus subject areas

  • Algebra and Number Theory

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