On the width of lattice-free simplices

被引：10

作者：

Kantor, JM ^{[1
]}

机构：

[1] Univ Paris 07, Ctr Math Jussieu, F-75252 Paris 05, France

来源：

COMPOSITIO MATHEMATICA | 1999年 / 118卷 / 03期

关键词：

lattice; lattice-free (empty) polytopes; polytopes; simplices; width;

D O I：

10.1023/A:1001164317215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider lattice-free simplices, simplices with vertices on the lattice Z(d) in R-d 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.

引用

页码：235 / 241

页数：7