Displaying similar documents to “Introductory remarks on complex multiplication.”

Cyclotomic modular lattices

Eva Bayer-Fluckiger (2000)

Journal de théorie des nombres de Bordeaux

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Several interesting lattices can be realised as over cyclotomic fields : some of the root lattices, the Coxeter-Todd lattice, the Leech lattice, etc. Many of these are in the sense of Quebbemann. The aim of the present paper is to determine the cyclotomic fields over which there exists a modular ideal lattice. We then study an especially simple class of lattices, the ideal lattices of . The paper gives a complete list of modular ideal lattices of trace type defined on cyclotomic fields. ...