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Integer decomposition property of three-dimensional smooth polytopes: a shorter proof

Juliana Curtis, Gaku Liu

Source record

Source: arXiv

Published: Oct 12, 2026

arXiv: 2610.17270

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Source abstract

Oda's smoothness conjecture asserts that every smooth lattice polytope has the integer decomposition property. The three-dimensional case of this conjecture was recently proven by AI. Here we give a much shorter proof of this result.

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Integer decomposition property of three-dimensional smooth polytopes: a shorter proof — Mathematical Frontier Network