English

Unimodular triangulation and bounds for smooth Fano polytopes

Combinatorics 2026-05-05 v2

Abstract

Let PP be a simplicial smooth Fano polytope. We provide a concrete unimodular triangulation of PP. 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.

Keywords

Cite

@article{arxiv.2603.14227,
  title  = {Unimodular triangulation and bounds for smooth Fano polytopes},
  author = {Gábor Hegedüs},
  journal= {arXiv preprint arXiv:2603.14227},
  year   = {2026}
}