Smooth Centrally Symmetric Polytopes in Dimension 3 are IDP

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Smooth lattice polytopes

Integer decomposition property

Oda's conjecture

Central symmetry

3-dimensional polytopes

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