English

Integer decomposition property of polytopes

Combinatorics 2024-10-01 v2 Algebraic Geometry

Abstract

We study the integer decomposition property of lattice polytopes associated with the nn-dimensional smooth complete fans with at most n+3n+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.

Cite

@article{arxiv.2107.05788,
  title  = {Integer decomposition property of polytopes},
  author = {Sharon Robins},
  journal= {arXiv preprint arXiv:2107.05788},
  year   = {2024}
}

Comments

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

R2 v1 2026-06-24T04:07:50.997Z