Free arrangements and coefficients of characteristic polynomials

Takuro Abe, Masahiko Yoshinaga

研究成果: Contribution to journalArticle査読

14 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)911-919
ページ数9
ジャーナルMathematische Zeitschrift
275
3-4
DOI
出版ステータス出版済み - 12 2013
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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