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Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP
San Francisco State Univ, USA.
Free Univ Berlin, Germany.
Kyoto Sangyo Univ, Japan.
McMaster Univ, Canada.
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2019 (English)In: Annals of Combinatorics, ISSN 0218-0006, E-ISSN 0219-3094, Vol. 23, no 2, p. 255-262Article in journal (Refereed) Published
Abstract [en]

In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric 3-dimensional polytopes, by showing they are covered by lattice parallelepipeds and unimodular simplices.

Place, publisher, year, edition, pages
Springer Publishing Company, 2019. Vol. 23, no 2, p. 255-262
Keywords [en]
Smooth lattice polytopes, Integer decomposition property, Oda's conjecture, Central symmetry, 3-dimensional polytopes
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-254510DOI: 10.1007/s00026-019-00418-xISI: 000471710700004Scopus ID: 2-s2.0-85071643987OAI: oai:DiVA.org:kth-254510DiVA, id: diva2:1336622
Note

QC 20190709

Available from: 2019-07-09 Created: 2019-07-09 Last updated: 2019-10-04Bibliographically approved

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