Recently implemented polymake features for computations in tropical geometry are described. The main focus is on explicit examples rather than technical explanations. Computations employ tropical hypersurfaces, moduli of tropical plane curves, tropical linear spaces and Grassmannians, lines on tropical cubic surfaces as well as intersection rings of matroids.
Simon Hampe and Michael Joswig.
Tropical computations in polymake.
In Gebhard Böckle, Wolfram Decker, and Gunter Malle, editors, Algorithmic and experimental methods in algebra, geometry, and number theory, pages 361–385. Springer, Cham, 2017.