A NOTE ON LATTICE-FACE POLYTOPES AND THEIR EHRHART POLYNOMIALS

被引：3
|
作者：
Liu, Fu [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 10期
关键词：
Ehrhart polynomial; lattice-face; polytope;
D O I：
10.1090/S0002-9939-09-09897-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We remove an unnecessary restriction in the definition of lattice-face polytopes and show that with the new definition, the Ehrhart polynomial of a lattice-face polytope still has the property that each coefficient is the normalized volume of a projection of the original polytope. Furthermore, we show that the new family of lattice-face polytopes contains all possible combinatorial types of rational polytopes.
引用
收藏
页码：3247 / 3258
页数：12
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