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arxiv: 1802.01046 · v2 · pith:J3A5BTJF · submitted 2018-02-03 · math.CO · math.AG

Smooth centrally symmetric polytopes in dimension 3 are IDP

Matthias Beck , Christian Haase , Akihiro Higashitani , Johannes Hofscheier , Katharina Jochemko , Lukas Katth\"an , Mateusz Micha{\l}ek This is my paper

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classification math.CO math.AG
keywords centrallylatticepolytopessmoothsymmetricconjectureconjecturedcovered
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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.

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