3-Dimensional Lattice Polytopes Without Interior Lattice Points

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dc.creatorTreutlein, Jaron
dc.date2008-09-10
dc.date.accessioned2026-07-07T10:02:00Z
dc.date.available2026-07-07T10:02:00Z
dc.descriptionA theorem of Howe states that every 3-dimensional lattice polytope $P$ whose only lattice points are its vertices, is a Cayley polytope, i.e. $P$ is the convex hull of two lattice polygons with distance one. We want to generalize this result by classifying 3-dimensional lattice polytopes without interior lattice points. The main result will be, that they are up to finite many exceptions either Cayley polytopes or there is a projection, which maps the polytope to the double unimodular 2-simplex. To every such polytope we associate a smooth projective surface of genus 0.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0809.1787
dc.identifierhttp://arxiv.org/abs/0809.1787
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168824
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject52B20; 14M25
dc.title3-Dimensional Lattice Polytopes Without Interior Lattice Points
dc.typetext

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