Free arrangements and coefficients of characteristic polynomials

Takuro Abe, Masahiko Yoshinaga

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Ziegler showed that the multirestriction of a free arrangement is also free. After Ziegler's work, several results concerning the "reverse direction", i.e., characterizing freeness of an arrangement via that of its multirestriction, have appeared. In this paper, we prove a new characterization of freeness in which the second Betti number of the arrangement plays a crucial role.

Original languageEnglish
Pages (from-to)911-919
Number of pages9
JournalMathematische Zeitschrift
Issue number3-4
Publication statusPublished - Dec 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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