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The number of areas of the species free arrangements. (Chinese. English summary) Zbl 1226.52008

Summary: A new kind of hyperplane arrangements – species free arrangements – is defined. The characteristic polynomial and the number of the areas of the species free arrangements in \(n\)-dimensional vector space are computed using the Whitney theorem. The related conclusion of the \(n\) free arrangements in \(n\)-dimensional vector space is derived.

MSC:

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