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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Formality of Pascal arrangements


Authors: Matthew Miller and Max Wakefield
Journal: Proc. Amer. Math. Soc. 139 (2011), 4461-4466
MSC (2010): Primary 52C35; Secondary 55R80
Published electronically: April 5, 2011
MathSciNet review: 2823091
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Abstract: In this paper we construct a family of subspace arrangements whose intersection lattices have the shape of Pascal's triangle. We prove that even though the intersection lattices are not geometric, the complex complement of the arrangements are rationally formal.


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Additional Information

Matthew Miller
Affiliation: Department of Mathematics, Vassar College, Poughkeepsie, New York 12604
Email: mamiller@vassar.edu

Max Wakefield
Affiliation: Department of Mathematics, United States Naval Academy, Annapolis, Maryland 21402
Email: wakefiel@usna.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11009-8
PII: S 0002-9939(2011)11009-8
Received by editor(s): October 15, 2009
Published electronically: April 5, 2011
Additional Notes: The second author has been supported by NSF grant No. 0600893, the NSF Japan program, and the Office of Naval Research.
Communicated by: Jim Haglund
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.