Strongly modular lattices with long shadow

DOI10.5802/JTNB.441zbMath1078.11047arXivmath/0211232OpenAlexW2963931338MaRDI QIDQ558190

Gabriele Nebe

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0211232

zbMATH Keywords

shadow of a latticestrongly modular lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Minima of forms (11H50)

Related Items (2)

\(s\)-extremal strongly modular lattices ⋮ A new complex reflection group in \(PU(9,1)\) and the Barnes-Wall lattice

Cites Work

• Upper bounds for modular forms, lattices, and codes
• Lattices without short characteristic vectors
• The shadow theory of modular and unimodular lattices
• Atkin-Lehner eigenforms and strongly modular lattices
• Modular lattices in Euclidean spaces
• A characterization of the \(\mathbb Z^ n\) lattice
• Lattices and codes with long shadows
• Modular Forms

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