Tropical Ehrhart theory and tropical volume

被引：0
|
作者：
Georg Loho
Matthias Schymura
机构：
[1] London School of Economics and Political Science,
[2] BTU Cottbus-Senftenberg,undefined
来源：
Research in the Mathematical Sciences | 2020年 / 7卷
关键词：
Tropical lattices; Ehrhart theory; Tropical volumes; Tropical polytopes; Tropical semiring; Tropical geometry; 14T05; 52C07; 52A38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposition is complemented by a brief study of arising complexity questions.
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