Multiples of lattice polytopes

As counterexamples in Section 2.D show, even a normal lattice polytope need not be covered by its unimodular subsimplices. On the other hand, results like Corollary 2.57 show that certain properties improve if one replaces P by a multiple cP. This can be seen as an expression of the fact that the di...

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Hauptverfasser:	Bruns, Winfried, Gubeladze, Joseph
Format:	Buchkapitel
Sprache:	eng
Schlagworte:	Algebra Algebraic geometry Algebraic topology Lattice Polytopes Simplicial Complex Simplicial Cone Unimodular Lattice Weyl Chamber
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creator	Bruns, Winfried Gubeladze, Joseph
description	As counterexamples in Section 2.D show, even a normal lattice polytope need not be covered by its unimodular subsimplices. On the other hand, results like Corollary 2.57 show that certain properties improve if one replaces P by a multiple cP. This can be seen as an expression of the fact that the discrete structure of cP approximates the continuous structure of P better and better when c → ∞.
doi_str_mv	10.1007/b105283_3
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subjects	Algebra Algebraic geometry Algebraic topology Lattice Polytopes Simplicial Complex Simplicial Cone Unimodular Lattice Weyl Chamber
title	Multiples of lattice polytopes
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