Winfried Bruns, Joseph Gubeladze
Published 2001-11-14, updated 2002-12-04Version 3
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.
Comments: 13 pages, uses pstricks and mathptm The revised version has been thoroughly rewritten
Norm bounds for Ehrhart polynomial roots
Enumeration of lattice polytopes by their volume
On Number of Compositions of Natural Numbers
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