Ehrhart Polynomials and Successive Minima

DOI10.1112/S0025579300000292zbMath1105.52011arXivmath/0507528OpenAlexW2143808019MaRDI QIDQ3410735

Martin Henk, Jörg M. Wills, Achill Schürmann

Publication date: 16 November 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507528

zbMATH Keywords

lattice pointssuccessive minimacentrally symmetric lattice polytoperoots of Ehrhart polynomials

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items

The \(L_{p}\)-Minkowski problem for \(-n < p < 1\), A Brunn-Minkowski theory for coconvex sets of finite volume, Interpolating between volume and lattice point enumerator with successive minima, The cone volume measure of antipodal points, Asymptotic distribution of the zeros of the Ehrhart polynomial of the cross-polytope, Necessary subspace concentration conditions for the even dual Minkowski problem, Log-Brunn-Minkowski inequality under symmetry, Cone-volume measure of general centered convex bodies, Notes on the log-Brunn-Minkowski inequality, The logarithmic Minkowski inequality for non-symmetric convex bodies, Roots of Ehrhart polynomials arising from graphs, Cone-volume measures of polytopes, The logarithmic Minkowski problem for non-symmetric measures, Notes on lattice points of zonotopes and lattice-face polytopes, Minimal zonotopes containing the crosspolytope, On the log-Minkowski inequality for simplices and parallelepipeds, Cone-volume measure and stability, Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries, Roots of Ehrhart polynomials of Gorenstein Fano polytopes, The log-Brunn-Minkowski inequality in ℝ³

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