Tropical Ehrhart Theory and Tropical Volume
Metric Geometry
2019-08-22 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.1908.07893,
title = {Tropical Ehrhart Theory and Tropical Volume},
author = {Georg Loho and Matthias Schymura},
journal= {arXiv preprint arXiv:1908.07893},
year = {2019}
}
Comments
33 pages, 6 figures