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.References
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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