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Rank 1 forms, closed zones and laminae

Michel Deza, Viatcheslav Grishukhin (2002)

Journal de théorie des nombres de Bordeaux

For a given lattice, we establish an equivalence between closed zones for the corresponding Voronoï polytope, suitable hyperplane sections of the corresponding Delaunay partition, and rank 1 quadratic forms which are extreme rays for the corresponding L -type domain.

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