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