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A nonhausdorff model for the complement of a complexified arrangement

Nicholas J. Proudfoot

math.AGarXiv:math/0507378

Abstract

Given a hyperplane arrangement A in a real vector space, we introduce a real algebraic prevariety Z(A), and exhibit the complement of the complexification of A as the total space of an affine bundle with fibers modeled on the dual of the ambient vector space.

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