Proof of Chapoton's conjecture on Newton polygons of q-Ehrhart polynomials

2017/04/19 by Jang Soo Kim, Kim, Jang Soo, U-Keun Song +1 · 1 citation
Mathematics · #05A30 (Secondary) #06A07 (Primary) #52B20 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1704.05621

openalex publication_date 2017/04/19 · openalex created_date 2017/05/05 · openalex updated_date 2026/07/28

Abstract

Recently, Chapoton found a q-analog of Ehrhart polynomials, which are polynomials in x whose coefficients are rational functions in q. Chapoton conjectured the shape of the Newton polygon of the numerator of the q-Ehrhart polynomial of an order polytope. In this paper, we prove Chapoton's conjecture.

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• A Closer Look at Chapoton's q-Ehrhart Polynomials

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