Smooth centrally symmetric polytopes in dimension 3 are IDP
Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthaen, and Mateusz Michałek
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Submission date: 06. Feb. 2018
published in: Annals of combinatorics, 23 (2019) 2, p. 255-262
DOI number (of the published article): 10.1007/s00026-019-00418-x
Link to arXiv: See the arXiv entry of this preprint.
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.