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.

The following versions are available: