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arXiv 2001-11-14 0 views

Unimodular covers of multiples of polytopes

Bruns, Winfried · Gubeladze, Joseph

Original · EN

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

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