Integer decomposition property of polytopes

Abstract

We study the integer decomposition property of lattice polytopes associated with the $n$-dimensional smooth complete fans with at most $n+3$ rays. Using the classification of smooth complete fans by Kleinschmidt and Batyrev and a reduction to lower dimensional polytopes, we prove the integer decomposition property for lattice polytopes in this setting.

V2, the exposition of the proof of Theorem 1.4 has improved

References in corpus (5)

• Problems on Minkowski sums of convex lattice polytopes
• Lattice points in Minkowski sums
• Multiplication maps of linear systems on smooth projective toric surfaces
• Smooth centrally symmetric polytopes in dimension 3 are IDP
• Algebraic hyperbolicity for surfaces in smooth projective toric threefolds with Picard rank 2 and 3