Application of an idea of Voronoĭ to lattice packing, supplement

DOI10.1007/s10231-015-0473-3zbMath1338.52017OpenAlexW2074875059MaRDI QIDQ268208

Peter M. Gruber

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-015-0473-3

zbMATH Keywords

kissing numberperfect latticeextreme latticeeutactic latticeextreme densitylattice packing of convex bodiesVoronoĭ type result

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Cites Work

• Application of an idea of Voronoĭ to lattice packing
• Mordell-Weil lattices in characteristic 2. II: The Leech lattice as a Mordell-Weil lattice
• Sphere packings. (Edited by John Talbot)
• Normal bundles of convex bodies
• Uniqueness of lattice packings and coverings of extreme density
• WHAT IS...the Leech Lattice?
• Criteria for extreme forms
• The densest lattice in twenty-four dimensions
• Convex and Discrete Geometry
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