Lattice Points inside Lattice Polytopes

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dc.creatorPikhurko, Oleg
dc.date2000-08-03
dc.date2000-10-02
dc.date.accessioned2026-07-07T04:36:38Z
dc.date.available2026-07-07T04:36:38Z
dc.descriptionWe 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.
dc.description14 pages (paper) + 22 pages (C code) Submitted to Mathematika
dc.identifierhttps://arxiv.org/abs/math/0008028
dc.identifierhttp://arxiv.org/abs/math/0008028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59672
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subjectNumber Theory
dc.subject52B20
dc.titleLattice Points inside Lattice Polytopes
dc.typetext

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