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arXiv · 1704.05621

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

Jang Soo Kim·U-Keun Song
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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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Jang Soo Kim, U-Keun Song. 2018-06-04. Proof of Chapoton's conjecture on Newton polygons of $q$-Ehrhart polynomials. https://arxiv.org/abs/1704.05621

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