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Characterization of a free arrangement and conjecture of Edelman and Reiner. (English) Zbl 1113.52039
Summary: 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.

MSC:
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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