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arXiv · math/0111162

Unimodular covers of multiples of polytopes

Winfried Bruns·Joseph Gubeladze
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Abstract

Let P be a d-dimensional lattice polytope. We show that there exists a natural number c_d, only depending on d, such that the multiples cP have a unimodular cover for every natural number c >= c_d. Actually, a subexponential upper bound for c_d is provided, together with an analogous result for unimodular covers of rational cones.

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Winfried Bruns, Joseph Gubeladze. 2002-12-04. Unimodular covers of multiples of polytopes. https://arxiv.org/abs/math/0111162

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