Matthias Beck
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
Authors
Christian Haase
Akihiro Higashitani
JOHANNES HOFSCHEIER Johannes.Hofscheier@nottingham.ac.uk
Assistant Professor
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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