Totally free arrangements of hyperplanes

Takuro Abe, Hiroaki Terao, Masahiko Yoshinaga

研究成果: Contribution to journalArticle

5 引用 (Scopus)

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A central arrangement A of hyperplanes in an ℓ-dimensional vector space V is said to be totally free if a multiarrangement (A, m) is free for any multiplicity m : A → ℤ>0. It has been known that A is totally free whenever ℓ ≤ 2. In this article, we will prove that there does not exist any totally free arrangement other than the obvious ones, that is, a product of one-dimensional arrangements and two-dimensional ones.

元の言語英語
ページ(範囲)1405-1410
ページ数6
ジャーナルProceedings of the American Mathematical Society
137
発行部数4
DOI
出版物ステータス出版済み - 4 1 2009
外部発表Yes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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