Lattice polytopes of degree 2

dc.creatorTreutlein, Jaron
dc.date2007-06-28
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:28:09Z
dc.date.available2026-07-07T12:28:09Z
dc.descriptionA theorem of Scott gives an upper bound for the normalized volume of lattice polygons with exactly $i>0$ interior lattice points. We will show that the same bound is true for the normalized volume of lattice polytopes of degree 2 even in higher dimensions. In particular, there is only a finite number of quadratic polynomials with fixed leading coefficient being the $h^*$-polynomial of a lattice polytope.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0706.4178
dc.identifierhttp://arxiv.org/abs/0706.4178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215448
dc.subjectCombinatorics
dc.subject52B20
dc.titleLattice polytopes of degree 2
dc.typetext

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