English

A nonhausdorff model for the complement of a complexified arrangement

Algebraic Geometry 2007-05-23 v2 General Topology

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.

Keywords

Cite

@article{arxiv.math/0507378,
  title  = {A nonhausdorff model for the complement of a complexified arrangement},
  author = {Nicholas J. Proudfoot},
  journal= {arXiv preprint arXiv:math/0507378},
  year   = {2007}
}

Comments

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