Tropical Ehrhart theory and tropical volume

Loho, Georg; and Schymura, Matthias (2020) Tropical Ehrhart theory and tropical volume Research in Mathematical Sciences, 7 (4): 30. ISSN 2522-0144

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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
Keywords	Ehrhart theory,tropical geometry,tropical lattices,tropical polytopes,tropical semiring,tropical volumes
Departments	Mathematics
DOI	10.1007/s40687-020-00228-1
Date Deposited	30 Sep 2020 15:03
URI	https://researchonline.lse.ac.uk/id/eprint/106674

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http://www.scopus.com/inward/record.url?scp=85091283839&partnerID=8YFLogxK (Scopus publication)
https://www.lse.ac.uk/Mathematics/people/Georg-Loho (Author)
https://www.springer.com/journal/40687 (Official URL)

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