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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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A note on lattice-face polytopes and their Ehrhart polynomials
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by Fu Liu PDF
Proc. Amer. Math. Soc. 137 (2009), 3247-3258 Request permission

Abstract:

We remove an unnecessary restriction in the definition of lattice-face polytopes and show that with the new definition, the Ehrhart polynomial of a lattice-face polytope still has the property that each coefficient is the normalized volume of a projection of the original polytope. Furthermore, we show that the new family of lattice-face polytopes contains all possible combinatorial types of rational polytopes.
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Additional Information
  • Fu Liu
  • Affiliation: Department of Mathematics, University of California, One Shields Avenue, Davis, California 95616
  • ORCID: 0000-0003-0497-4083
  • Email: fuliu@math.ucdavis.edu
  • Received by editor(s): October 29, 2008
  • Received by editor(s) in revised form: January 17, 2009
  • Published electronically: May 14, 2009
  • Communicated by: Jim Haglund
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3247-3258
  • MSC (2000): Primary 05A19; Secondary 52B20
  • DOI: https://doi.org/10.1090/S0002-9939-09-09897-9
  • MathSciNet review: 2515395