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arXiv · 2107.05788

Integer decomposition property of polytopes

Sharon Robins
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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.

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Sharon Robins. 2024-09-29. Integer decomposition property of polytopes. https://doi.org/10.37236/10582

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