Geodesic
Unimodular covers of multiples of polytopes
Documenta mathematica, Tome 7 (2002), pp. 463-480.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $c\ge c_d$. Actually, an explicit upper bound for $c_d$ is provided, together with an analogous result for unimodular covers of rational cones.
Classification : 52B20, 52C07, 11H06
Keywords: lattice polytope, rational cone, unimodular covering 
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     title = {Unimodular covers of multiples of polytopes},
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Bruns, Winfried; Gubeladze, Joseph. Unimodular covers of multiples of polytopes. Documenta mathematica, Tome 7 (2002), pp. 463-480. http://geodesic.mathdoc.fr/item/DOCMA_2002__7__a6/