Tropical Ehrhart theory and tropical volume

  title={Tropical Ehrhart theory and tropical volume},
  author={Georg Loho and Matthias Schymura},
  journal={Research in the Mathematical Sciences},
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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