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A non-Hausdorff model for the complement of a complexified hyperplane arrangement
Authors:Nicholas Proudfoot
Institution:Department of Mathematics, Columbia University, New York, New York 10027
Abstract:Given a hyperplane arrangement $ \mathcal{A}$ in a real vector space $ V$, we introduce a real algebraic prevariety $ \mathcal{Z}(\mathcal{A})$, and exhibit the complement of $ \mathcal{A}$ in the complexification of $ V$ as the total space of an affine bundle over $ \mathcal{Z}(\mathcal{A})$ with fibers modeled on the dual vector space $ V^{\vee}$.

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