Mathematics > Combinatorics
arXiv:2603.14227 (math)
[Submitted on 15 Mar 2026 (v1), last revised 27 Jun 2026 (this version, v3)]
Abstract:We characterize smooth Fano polytopes in terms of their delta-vector and f-vector.
As an application we prove that the delta-vector of a smooth Fano polytope is unimodal and we give upper and lower bound on the volume of smooth Fano polytopes.
Submission history
From: Gábor Hegedüs Dr [view email]
[v1]
Sun, 15 Mar 2026 05:15:18 UTC (10 KB)
[v2]
Mon, 4 May 2026 14:33:25 UTC (11 KB)
[v3]
Sat, 27 Jun 2026 11:32:54 UTC (11 KB)
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