Quadratic forms of rank 1, closed zones and laminae

2000/04/01 by Michel Deza, Deza, Michel, Viatcheslav Grishukhin +1
Computer Science · Engineering · Mathematics · #11H55 (Secondary) #52C07 (Primary) #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Polynomial and algebraic computation #math.CO #math.GT #msc:11H55 #msc:52C07

paper · pdf · doi:10.48550/arxiv.math/0004004

6 pages, LaTeX

openalex publication_date 2000/04/01 · arxiv created 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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