A nonhausdorff model for the complement of a complexified arrangement

2005/07/19 by Nicholas J. Proudfoot, Proudfoot, Nicholas J.
Mathematics · #52C35 #Algebraic Geometry (math.AG) #FOS: Mathematics #General Topology (math.GN) #math.AG #math.GN #msc:52C35

paper · pdf · doi:10.48550/arxiv.math/0507378

8 pages, 1 figure; now work analytically rather than algebraically

arxiv created 2005/07/28 · arxiv updated 2009/12/01

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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