Tropical Ehrhart theory and tropical volume

Loho, G. & Schymura, M. (2020). Tropical Ehrhart theory and tropical volume. Research in Mathematical Sciences, 7(4). https://doi.org/10.1007/s40687-020-00228-1
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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.
Item Type Article
Copyright holders © 2020 The Authors
Departments LSE > Academic Departments > Mathematics
DOI 10.1007/s40687-020-00228-1
Date Deposited 30 Sep 2020
Acceptance Date 29 Aug 2020
URI https://researchonline.lse.ac.uk/id/eprint/106674

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