Séminaire lotharingien de combinatoire, 80B (2018)
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Jang Soo Kim; U-Keun Song. Proof of Chapoton's cCnjecture on Newton Polygons of q-Ehrhart polynomials. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a26/
@article{SLC_2018_80B_a26,
author = {Jang Soo Kim and U-Keun Song},
title = {Proof of {Chapoton's} {cCnjecture} on {Newton} {Polygons} of {q-Ehrhart} polynomials},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2018},
volume = {80B},
url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a26/}
}
TY - JOUR
AU - Jang Soo Kim
AU - U-Keun Song
TI - Proof of Chapoton's cCnjecture on Newton Polygons of q-Ehrhart polynomials
JO - Séminaire lotharingien de combinatoire
PY - 2018
VL - 80B
UR - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a26/
ID - SLC_2018_80B_a26
ER -
%0 Journal Article
%A Jang Soo Kim
%A U-Keun Song
%T Proof of Chapoton's cCnjecture on Newton Polygons of q-Ehrhart polynomials
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a26/
%F SLC_2018_80B_a26
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.
