Unimodular covers of multiples of polytopes

Mathematics – Combinatorics

Scientific paper

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13 pages, uses pstricks and mathptm The revised version has been thoroughly rewritten

Scientific paper

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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