Integer decomposition property of polytopes

Fuente: arXiv
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Autore principale: Robins, Sharon
Natura: Preprint
Pubblicazione: 2021
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author Robins, Sharon
author_facet Robins, Sharon
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2107_05788
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Integer decomposition property of polytopes
Robins, Sharon
Combinatorics
Algebraic Geometry
52B20, 14M25
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.
title Integer decomposition property of polytopes
topic Combinatorics
Algebraic Geometry
52B20, 14M25
url https://arxiv.org/abs/2107.05788