New characterizations of freeness for hyperplane arrangements

Anna Maria Bigatti, Elisa Palezzato, Michele Torielli

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this article, we describe two new characterizations of freeness for hyperplane arrangements via the study of the generic initial ideal and of the sectional matrix of the Jacobian ideal of arrangements.

Original languageEnglish (US)
Pages (from-to)297-315
Number of pages19
JournalJournal of Algebraic Combinatorics
Volume51
Issue number2
DOIs
StatePublished - Mar 1 2020
Externally publishedYes

Keywords

  • Free hyperplane arrangement
  • Generic initial ideal
  • Sectional matrix

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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