Quadratic forms of rank 1, closed zones and laminae

(2) CEMI; Michel Deza (1); Moscow); Paris; Russian Academy of Sciences; Viatcheslav Grishukhin (2) ((1) Ecole Normale Superieure

arxiv: math/0004004 · v2 · submitted 2000-04-01 · 🧮 math.GT · math.CO

Quadratic forms of rank 1, closed zones and laminae

Michel Deza (1) , Viatcheslav Grishukhin (2) ((1) Ecole Normale Superieure , Paris , (2) CEMI , Russian Academy of Sciences , Moscow) This is my paper

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keywords correspondingclosedquadraticrankdelaunaydomainequivalenceestablish

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For a given lattice, we establish an equivalence involving a closed zone of the corresponding Voronoi polytope, a lamina hyperplane of the corresponding Delaunay partition and a quadratic form of rank 1 being an extreme ray of the corresponding L-type domain.

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Quadratic forms of rank 1, closed zones and laminae

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