A set of dual-extreme lattices

DOI10.5802/jtnb.194zbMath0889.11023OpenAlexW1985257708MaRDI QIDQ1382099

Jacques Martinet

Publication date: 25 March 1998

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1997__9_1_169_0

zbMATH Keywords

perfect latticeextreme latticeeutactic latticedual-extreme lattice

Mathematics Subject Classification ID

Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Related Items (3)

An irrational dual-extreme form ⋮ On the classification of 5-dimensional perfect lattices ⋮ Reduction modulo 2 and 3 of Euclidean lattices

Cites Work

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• Sur un problème de dualité lié aux sphères en géométrie des nombres. (On a duality problem related to spheres in geometry of numbers)
• Centerings of 8-dimensional lattices that preserve a frame of successive minima
• On lattices equivalent to their duals
• Minimal vectors of pairs of dual lattices
• Low-dimensional lattices. III. Perfect forms
• On the minimum points of a positive quadratic form

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