paper

Smooth centrally symmetric polytopes in dimension 3 are IDP

arXiv:1802.01046 · doi:10.1007/s00026-019-00418-x

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.

7 pages, 3 figures; revised version following the helpful comments of the referees

Smooth centrally symmetric polytopes in dimension 3 are IDP · wovepaper