Lattice Delone simplices with super-exponential volume

DOI10.1016/j.ejc.2005.12.003zbMath1123.52006arXivmath/0507119OpenAlexW2036042912MaRDI QIDQ872037

Francisco Santos, Frank Vallentin, Achill Schürmann

Publication date: 27 March 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507119

zbMATH Keywords

relative volumelattice Delone simplices

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The difference body of a convex body
• A simple and relatively efficient triangulation of the n-cube
• The perfect form \(A^k_n\): the existence of lattices with a nonfundamental division simplex, and the existence of perfect forms which are not Minkowski-reducible to forms having identical diagonal coefficients
• Asymptotically efficient triangulations of the \(d\)-cube
• The six-dimensional Delaunay polytopes
• A lower bound for the simplexity of the \(n\)-cube via hyperbolic volumes
• Volumes of L-simplexes of five-dimensional lattices
• A survey on modular Hadamard matrices
• What is known about unit cubes
• Geometry of cuts and metrics