Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP
(2019)
Journal Article
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
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 simpli... Read More about Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP.