The boundary volume of a lattice polytope

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The boundary volume of a lattice polytope

For a d-dimensional convex lattice polytope P, a formula for the boundary volume vol(δP) is derived in terms of the number of boundary lattice points on the first [d/2] dilations of P. As an application we give a necessary and sufficient condition for a polytope to be reflexive, and derive formulae...

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Bibliographic Details
Main Authors:	Hegedüs, Gábor, Kasprzyk, Alexander M.
Format:	Article
Published:	Australian Mathematical Society 2011
Subjects:	Lattice polytope Boundary volume Reflexive polytope Order polytope Birkhoff polytope
Online Access:	https://eprints.nottingham.ac.uk/30720/

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