Geodesic
Unimodular covers of multiples of polytopes
Documenta mathematica, Tome 7 (2002), pp. 463-480
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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, an explicit upper bound for cd​ is provided, together with an analogous result for unimodular covers of rational cones.
DOI : 10.4171/dm/128
Classification : 11H06, 52B20, 52C07
Mots-clés : lattice polytope, rational cone, unimodular covering 
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     author = {Joseph Gubeladze and Winfried Bruns},
     title = {Unimodular covers of multiples of polytopes},
     journal = {Documenta mathematica},
     pages = {463--480},
     year = {2002},
     volume = {7},
     doi = {10.4171/dm/128},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/128/}
}
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Joseph Gubeladze; Winfried Bruns. Unimodular covers of multiples of polytopes. Documenta mathematica, Tome 7 (2002), pp. 463-480. doi: 10.4171/dm/128

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