Irrational triangles with polynomial Ehrhart functions

DOI10.1007/s00454-018-0036-7zbMath1407.52015OpenAlexW2914293354WikidataQ128530159 ScholiaQ128530159MaRDI QIDQ1715992

Dan Cristofaro-Gardiner, Richard P. Stanley, Teresa Xueshan Li

Publication date: 29 January 2019

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-018-0036-7

zbMATH Keywords

Ehrhart function\(P\)-recursiveirrational triangleperiod collapse

Mathematics Subject Classification ID

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

Related Items

ECH capacities and the Ruelle invariant ⋮ Ehrhart functions and symplectic embeddings of ellipsoids ⋮ Sub-leading asymptotics of ECH capacities

Cites Work

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• The embedding capacity of 4-dimensional symplectic ellipsoids
• Irrational proofs for three theorems of Stanley
• Positivity theorems for solid-angle polynomials
• Vertices of Gelfand-Tsetlin polytopes
• The minimum period of the Ehrhart quasi-polynomial of a rational polytope
• Computing the period of an Ehrhart quasi-polynomial
• Computing the Continuous Discretely
• Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes
• Symplectic embedding problems, old and new

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