Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 52C35

Retrieve articles in all journals with MSC (2000): 52C35


Additional Information

Nicholas Proudfoot
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08949-6
PII: S 0002-9939(07)08949-6
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.