Inhomogeneous extreme forms

DOI10.5802/aif.2748zbMath1309.11057arXiv1008.4751OpenAlexW3122825053MaRDI QIDQ1948155

Achill Schürmann, Frank Vallentin, Mathieu Dutour Sikirić

Publication date: 2 May 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4751

zbMATH Keywords

latticessphere coveringsphere packingspherical \(t\)-designsDelone polytopesVoronoi reduction theory

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (7)

On a question of Uri Shapira and Barak Weiss ⋮ The Optimal Lattice Quantizer in Nine Dimensions ⋮ Some questions related to the reverse Minkowski theorem ⋮ Delaunay polytopes derived from the Leech lattice ⋮ Second order monotone finite differences discretization of linear anisotropic differential operators ⋮ Stable lattices and the diagonal group ⋮ When is the ball a local pessimum for covering?

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