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arxiv: math/0507378 · v2 · submitted 2005-07-19 · 🧮 math.AG · math.GN

A nonhausdorff model for the complement of a complexified arrangement

classification 🧮 math.AG math.GN
keywords spacearrangementcomplementrealvectoraffinealgebraicambient
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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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