Ehrhart-equivalent 3-polytopes are equidecomposable

DOI10.1090/proc/14626zbMath1433.52013arXiv1807.09485OpenAlexW2883123830WikidataQ127639470 ScholiaQ127639470MaRDI QIDQ5238117

Christian Haase, Francisco Santos, Jakob Erbe

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09485

zbMATH Keywords

lattice polytopesEhrhart polynomialsequidecomposabilityunimodular triangulations

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items

Some characterizations of the complex projective space via Ehrhart polynomials, Discrete equidecomposability and Ehrhart theory of polygons

Cites Work

• Unnamed Item
• Triangulations. Structures for algorithms and applications
• Lattice points in lattice polytopes
• Polynômes arithmétiques et méthode des polyedres en combinatoire
• Triangulations of integral polytopes and Ehrhart polynomials
• On primitive subdivisions of an elementary tetrahedron.
• Discrete equidecomposability and Ehrhart theory of polygons
• Unimodular triangulations of dilated 3-polytopes
• Existence of unimodular triangulations — positive results
• Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes
• Piecewise SL 2 Z Geometry
• Lattice Tetrahedra