Free arrangements and coefficients of characteristic polynomials

Takuro Abe, Masahiko Yoshinaga

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

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
Volume275
Issue number3-4
DOIs
Publication statusPublished - Dec 1 2013
Externally publishedYes

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Characteristic polynomial
Arrangement
Coefficient
Betti numbers
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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Free arrangements and coefficients of characteristic polynomials. / Abe, Takuro; Yoshinaga, Masahiko.

In: Mathematische Zeitschrift, Vol. 275, No. 3-4, 01.12.2013, p. 911-919.

Research output: Contribution to journal › Article

Abe, T & Yoshinaga, M 2013, 'Free arrangements and coefficients of characteristic polynomials', Mathematische Zeitschrift, vol. 275, no. 3-4, pp. 911-919. https://doi.org/10.1007/s00209-013-1165-6
Abe T, Yoshinaga M. Free arrangements and coefficients of characteristic polynomials. Mathematische Zeitschrift. 2013 Dec 1;275(3-4):911-919. https://doi.org/10.1007/s00209-013-1165-6
Abe, Takuro ; Yoshinaga, Masahiko. / Free arrangements and coefficients of characteristic polynomials. In: Mathematische Zeitschrift. 2013 ; Vol. 275, No. 3-4. pp. 911-919.
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