Proof of Chapoton's conjecture on Newton polygons of \(q\)-Ehrhart polynomials

zbMath1411.05031MaRDI QIDQ5925183

U-Keun Song, Jang Soo Kim

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//27-Kim-Song.html

zbMATH Keywords

Newton polygonorder polytope\(q\)-Ehrhart polynomial\(P\)-partition

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) (q)-calculus and related topics (05A30) Algebraic aspects of posets (06A11)

Cites Work

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• On \(q\)-integrals over order polytopes
• Two poset polytopes
• q-analogues of Ehrhart polynomials
• Computing the Continuous Discretely
• Combinatorial reciprocity theorems
• Proof of Chapoton's conjecture on Newton polygons of \(q\)-Ehrhart polynomials

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