Abstract
We consider a hyperplane arrangement in a vector space of dimension four or higher. In this case, the freeness of the arrangement is characterized by properties around a fixed hyperplane. As an application, we prove the freeness of cones over certain truncated affine Weyl arrangements which was conjectured by Edelman and Reiner.
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Yoshinaga, M. Characterization of a free arrangement and conjecture of Edelman and Reiner. Invent. math. 157, 449–454 (2004). https://doi.org/10.1007/s00222-004-0359-2
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DOI: https://doi.org/10.1007/s00222-004-0359-2