Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A non-Hausdorff model for the complement of a complexified hyperplane arrangement

Author: Nicholas Proudfoot
Journal: Proc. Amer. Math. Soc. 135 (2007), 3989-3994
MSC (2000): Primary 52C35
Published electronically: September 12, 2007
MathSciNet review: 2341950
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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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Nicholas Proudfoot
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027

Received by editor(s): July 15, 2006
Received by editor(s) in revised form: September 14, 2006
Published electronically: September 12, 2007
Additional Notes: This author was partially supported by an NSF Postdoctoral Research Fellowship
Communicated by: Ted Chinburg
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.