2008•Jilin Normal University JournalRequires access
Parallel Free Arrangements
Donghe Pei
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Abstract
Free arrangement is a very important kind of hyperplane arrangement.In this paper,we define a new kind of hyperplane arrangement,using parallel hyperplane groups instead of single's hyperplane of free arrangement.And we extract the characteristic polynomial and the number of the areas of this new kind of hyperplane arrangements in n-dimensional vector space using the Whitney theorem,which popularize the related conclusion of the n free arrangements in n-dimensional vector space.