Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes

zbMath1163.52006arXiv0709.4070MaRDI QIDQ3601425

Tyrrell B. McAllister, Christian Haase

Publication date: 10 February 2009

Full work available at URL: https://arxiv.org/abs/0709.4070

zbMATH Keywords

scissors congruencerational polytopeunimodular triangulationEhrhart quasi-polynomialperiod collapse

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (10)

Period collapse in Ehrhart quasi-polynomials of \(\{1,3\}\)-graphs ⋮ On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts ⋮ Some characterizations of the complex projective space via Ehrhart polynomials ⋮ Irrational triangles with polynomial Ehrhart functions ⋮ Discrete equidecomposability and Ehrhart theory of polygons ⋮ Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon ⋮ Ehrhart functions and symplectic embeddings of ellipsoids ⋮ Rational Ehrhart quasi-polynomials ⋮ Lattice points and simultaneous core partitions ⋮ Ehrhart-equivalent 3-polytopes are equidecomposable

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