On Ehrhart Polynomials of Lattice Triangles

被引：0
|
作者：
Hofscheier, Johannes
Nill, Benjamin [1 ]
Oberg, Dennis [2 ]
机构：
[1] Otto von Guericke Univ, Inst Algebra & Geometrie, Magdeburg, Germany
[2] Stockholm Univ, Dept Math, Stockholm, Sweden
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2018年 / 25卷 / 01期
关键词：
Lattice triangles; Ehrhart polynomial; h*-vector; toric surfaces; sectional genus; Scott's inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Ehrhart polynomial of a lattice polygon P is completely determined by the pair (b(P), i(P)) where b(P) equals the number of lattice points on the boundary and i(P) equals the number of interior lattice points. All possible pairs (b(P), i(P)) are completely described by a theorem due to Scott. In this note, we describe the shape of the set of pairs (b(T), i(T)) for lattice triangles T by finding infinitely many new Scott-type inequalities.
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页数：8
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