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

DOI:
https://doi.org/10.1090/S0002-9939-2011-11009-8

Published electronically:
April 5, 2011

MathSciNet review:
2823091

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-2011-11009-8

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.