Nonexistence of extremal lattices in certain genera of modular lattices

DOI10.1006/jnth.1996.0125zbMath0863.11041OpenAlexW2075057331MaRDI QIDQ1126376

Boris B. Venkov, Gabriele Nebe

Publication date: 3 June 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0125

zbMATH Keywords

modular latticeSiegel modular formsextremal latticeseven lattice

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Lattice packing and covering (number-theoretic aspects) (11H31) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

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Automorphisms of extremal unimodular lattices in dimension 72, Automorphisms of modular lattices, The shadow theory of modular and unimodular lattices