Proof of Chapoton's conjecture on Newton polygons of $q$-Ehrhart polynomials
Combinatorics
2018-06-05 v2
Abstract
Recently, Chapoton found a -analog of Ehrhart polynomials, which are polynomials in whose coefficients are rational functions in . Chapoton conjectured the shape of the Newton polygon of the numerator of the -Ehrhart polynomial of an order polytope. In this paper, we prove Chapoton's conjecture.
Keywords
Cite
@article{arxiv.1704.05621,
title = {Proof of Chapoton's conjecture on Newton polygons of $q$-Ehrhart polynomials},
author = {Jang Soo Kim and U-Keun Song},
journal= {arXiv preprint arXiv:1704.05621},
year = {2018}
}
Comments
12 pages, 1 figure