Unimodular covers of multiples of polytopes
| Autor(en): | Bruns, W. Gubeladze, J. |
Stichwörter: | Lattice polytope; Rational cone; Unimodular covering | Erscheinungsdatum: | 2002 | Journal: | Documenta Mathematica | Volumen: | 7 | Ausgabe: | 1 | Startseite: | 463 | Seitenende: | 480 | Zusammenfassung: | 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. |
ISSN: | 14310635 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-18644367146&partnerID=40&md5=efcdf8143421d23b6ca1d210a85eb230 |
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