Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP

Beck, Matthias; Haase, Christian; Higashitani, Akihiro; Hofscheier, Johannes; Jochemko, Katharina; Katth�n, Lukas; Micha?ek, Mateusz

Abstract

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.

Citation

Beck, M., Haase, C., Higashitani, A., Hofscheier, J., Jochemko, K., Katthän, L., & Michałek, M. (2019). Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP. Annals of Combinatorics, 23(2), 255-262. https://doi.org/10.1007/s00026-019-00418-x

• Journal Article Type: Article
• Acceptance Date: Aug 2, 2018
• Online Publication Date: Mar 11, 2019
• Publication Date: Jun 1, 2019
• Deposit Date: Jul 22, 2020
• Publicly Available Date: Jul 22, 2020
• Journal: Annals of Combinatorics
• Print ISSN: 0218-0006
• Electronic ISSN: 0219-3094
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 23
• Issue: 2
• Pages: 255-262
• DOI: https://doi.org/10.1007/s00026-019-00418-x
• Keywords: Discrete Mathematics and Combinatorics
• Public URL: https://nottingham-repository.worktribe.com/output/4782182
• Publisher URL: https://link.springer.com/article/10.1007%2Fs00026-019-00418-x