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On the Width of Lattice-Free simplices

Published online by Cambridge University Press:  04 December 2007

JEAN-MICHEL KANTOR
Affiliation:
Centre de Mathématiques de Jussieu, Université Paris 7, Tour 46 5e étage Boite 247, 4, place Jussieu, F-75252 Paris Cedex 05. e-mail: [email protected]
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Abstract

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We consider lattice-free simplices, simplices with vertices on the lattice Z in R and no other integral points; we show, by elementary methods, that there exist such simplices in dimension d with width (see Definition 2) going to infinity with d.

Type
Research Article
Copyright
© 1999 Kluwer Academic Publishers