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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

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Authors

Matthias Beck

Christian Haase

Akihiro Higashitani

Katharina Jochemko

Lukas Katth�n

Mateusz Micha?ek



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 Mar 29, 2024
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

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