A non-Hausdorff model for the complement of a complexified hyperplane arrangement
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- by Nicholas Proudfoot PDF
- Proc. Amer. Math. Soc. 135 (2007), 3989-3994 Request permission
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
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Additional Information
- Nicholas Proudfoot
- Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
- MR Author ID: 689525
- 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
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3989-3994
- MSC (2000): Primary 52C35
- DOI: https://doi.org/10.1090/S0002-9939-07-08949-6
- MathSciNet review: 2341950