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On the Freeness of 3‐Arrangements
Author(s) -
Yoshinaga Masahiko
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003704
Subject(s) - mathematics , pure mathematics
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. 2000 Mathematics Subject Classification 52C35 (primary), 32S22 (secondary).