Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP

Kurzanzeige
dc.contributor.authorBeck, Matthias
dc.contributor.authorHaase, Christian
dc.contributor.authorHigashitani, Akihiro
dc.contributor.authorHofscheier, Johannes
dc.contributor.authorJochemko, Katharina
dc.contributor.authorKatthän, Lukas
dc.contributor.authorMichalek, Mateusz
dc.date.accessioned2020-12-21T13:29:21Z
dc.date.available2020-12-21T13:29:21Z
dc.date.issued2019eng
dc.description.abstractIn 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.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1007/s00026-019-00418-xeng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/52209
dc.language.isoengeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectSmooth lattice polytopes, Integer decomposition property, Oda’s conjecture, Central symmetry, 3-dimensional polytopeseng
dc.subject.ddc510eng
dc.titleSmooth Centrally Symmetric Polytopes in Dimension 3 are IDPeng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Beck2019Smoot-52209,
  year={2019},
  doi={10.1007/s00026-019-00418-x},
  title={Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP},
  number={2},
  volume={23},
  issn={0218-0006},
  journal={Annals of Combinatorics},
  pages={255--262},
  author={Beck, Matthias and Haase, Christian and Higashitani, Akihiro and Hofscheier, Johannes and Jochemko, Katharina and Katthän, Lukas and Michalek, Mateusz}
}
kops.citation.iso690BECK, Matthias, Christian HAASE, Akihiro HIGASHITANI, Johannes HOFSCHEIER, Katharina JOCHEMKO, Lukas KATTHÄN, Mateusz MICHALEK, 2019. Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP. In: Annals of Combinatorics. Birkhäuser. 2019, 23(2), pp. 255-262. ISSN 0218-0006. eISSN 0219-3094. Available under: doi: 10.1007/s00026-019-00418-xdeu
kops.citation.iso690BECK, Matthias, Christian HAASE, Akihiro HIGASHITANI, Johannes HOFSCHEIER, Katharina JOCHEMKO, Lukas KATTHÄN, Mateusz MICHALEK, 2019. Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP. In: Annals of Combinatorics. Birkhäuser. 2019, 23(2), pp. 255-262. ISSN 0218-0006. eISSN 0219-3094. Available under: doi: 10.1007/s00026-019-00418-xeng
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kops.sourcefieldAnnals of Combinatorics. Birkhäuser. 2019, <b>23</b>(2), pp. 255-262. ISSN 0218-0006. eISSN 0219-3094. Available under: doi: 10.1007/s00026-019-00418-xdeu
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