Lattice Points inside Lattice Polytopes

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We show that, if the interior of a lattice d-polytope P contains at least one lattice point, then it contains a lattice point whose coefficient of asymmetry with respect to P is at most b for some number b depending on d only. As an application, we obtain new upper bounds on the volume of a lattice polytope given the number of lattice points in its interior.
14 pages (paper) + 22 pages (C code) Submitted to Mathematika

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Combinatorics, Metric Geometry, Number Theory, 52B20

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http://salesiana.dossiersoluciones.com/handle/123456789/59672

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008028
 http://arxiv.org/abs/math/0008028

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arXiv