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On the Dirichlet—Voronoi cell of unimodular lattices (1996)

Horváth, Ákos G.

Springer

Geometriae dedicata 63 (1996), S. 183-191

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ISSN: 1572-9168

Keywords: 11H50 ; 52C07 ; lattice ; Dirichlet-Voronoi cell

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper consists of two results concerning the Dirichlet-Voronoi cell of a lattice. The first one is a geometric property of the cell of an integral unimodular lattice while the second one gives a characterization of all those lattice vectors of an arbitrary lattice whose multiples by 1/2 are on the boundary of the cell containing the origin. This result is a generalization of a well-known theorem of Voronoi characterizing the so-called relevants of the cell.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00148218

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