Totally free arrangements of hyperplanes

DOI IR (HANDLE) Open Access

Description

A central arrangement $\A$ of hyperplanes in an $\ell$-dimensional vector space $V$ is said to be totally free}if a multiarrangement if $(\A, m)$ is free for any multiplicity $ m : \A\rightarrow \Z_{> 0}$. It has been known that $\A$ is totally free whenever $\ell \le 2$. 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.

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Keywords

Details 詳細情報について

  • CRID
    1390853649725554560
  • NII Article ID
    120006459611
  • DOI
    10.14943/84064
  • HANDLE
    2115/69722
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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