2008•Journal of Beijing University of Chemical TechnologyRequires access
The reducibility of affine hyperplane arrangements
Jing Hu
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Abstract
The reducibility of affine hyperplane arrangements is discussed by using the matrix method.It is proved that an affine arrangement is reducible if,and only if,its corresponding central arrangement is reducible.Thus the existence and uniqueness of affine hyperplane arrangement decompositions is changed into that of the corresponding central hyperplane arrangement decompositions and,therefore,the existence and uniqueness of affine hyperplane arrangement decompositions is obtained.