Smooth centrally symmetric polytopes in dimension 3 are IDP
Combinatorics
2019-10-25 v2 Algebraic Geometry
Abstract
In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric -dimensional polytopes, by showing they are covered by lattice parallelepipeds and unimodular simplices.
Keywords
Cite
@article{arxiv.1802.01046,
title = {Smooth centrally symmetric polytopes in dimension 3 are IDP},
author = {Matthias Beck and Christian Haase and Akihiro Higashitani and Johannes Hofscheier and Katharina Jochemko and Lukas Katthän and Mateusz Michałek},
journal= {arXiv preprint arXiv:1802.01046},
year = {2019}
}
Comments
7 pages, 3 figures; revised version following the helpful comments of the referees