Unimodular triangulation and bounds for smooth Fano polytopes

Fuente: arXiv
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Main Author: Hegedüs, Gábor
Format: Preprint
Published: 2026
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author Hegedüs, Gábor
author_facet Hegedüs, Gábor
contents Let $P$ be a simplicial smooth Fano polytope. We provide a concrete unimodular triangulation of $P$. We prove that the delta-vector of a simplicial smooth Fano polytope is unimodal and we give upper and lower bound for the volume of simplicial smooth Fano polytopes.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14227
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unimodular triangulation and bounds for smooth Fano polytopes
Hegedüs, Gábor
Combinatorics
52B20, 52C07, 11H06
Let $P$ be a simplicial smooth Fano polytope. We provide a concrete unimodular triangulation of $P$. We prove that the delta-vector of a simplicial smooth Fano polytope is unimodal and we give upper and lower bound for the volume of simplicial smooth Fano polytopes.
title Unimodular triangulation and bounds for smooth Fano polytopes
topic Combinatorics
52B20, 52C07, 11H06
url https://arxiv.org/abs/2603.14227