Séminaire Lotharingien de Combinatoire, 80B.27 (2018), 12 pp.
Jang Soo
Kim and U-Keun
Song
Proof of Chapoton's cCnjecture on Newton Polygons of q-Ehrhart
polynomials
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.
Received: November 14, 2017.
Accepted: February 17, 2018.
Final version: April 1, 2018.
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