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ON THE FREENESS OF 3-ARRANGEMENTS

Published online by Cambridge University Press:  08 February 2005

MASAHIKO YOSHINAGA
MASAHIKO YOSHINAGA
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan e-mail: yosinaga@kurims.kyoto-u.ac.jp
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Abstract

Hyperplane arrangements in a three-dimensional vector space are considered in this paper. A characterization of the freeness of such an arrangement is given in terms of the characteristic polynomial and a restricted multiarrangement. As an application, the freeness of cones over certain two-dimensional affine arrangements is proved.

Keywords

52C35 (primary)32S22 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 1 , January 2005 , pp. 126 - 134
Copyright
© The London Mathematical Society 2005

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