Tropical Ehrhart theory and tropical volume

Georg Loho, Matthias Schymura*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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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.

Original languageEnglish
Article number30
JournalResearch in Mathematical Sciences
Volume7
Issue number4
DOIs
Publication statusPublished - 1 Dec 2020
Externally publishedYes

Keywords

  • Ehrhart theory
  • Tropical geometry
  • Tropical lattices
  • Tropical polytopes
  • Tropical semiring
  • Tropical volumes

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