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math.MG2019
Tropical Ehrhart Theory and Tropical Volume
Georg Loho, Matthias Schymura
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 e…
math.CO2019★ 3 cited
The covering radius and a discrete surface area for non-hollow simplices
Giulia Codenotti, Francisco Santos, Matthias Schymura
We explore upper bounds on the covering radius of non-hollow lattice polytopes. In particular, we conjecture a general upper bound of in dimension , achieved by the "stand…