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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| Format: | Article |
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Australian Mathematical Society
2011
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| Online Access: | https://eprints.nottingham.ac.uk/30720/ |