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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Formality of Pascal arrangements
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by Matthew Miller and Max Wakefield
Proc. Amer. Math. Soc. 139 (2011), 4461-4466
DOI: https://doi.org/10.1090/S0002-9939-2011-11009-8
Published electronically: April 5, 2011

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.
References
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Bibliographic 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
  • 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
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2823091