Abstract
The purpose of this survey is to summarize known results about tropical hypersurfaces and the Cayley Trick from polyhedral geometry. This allows for a systematic study of arrangements of tropical hypersurfaces and, in particular, arrangements of tropical hyperplanes. A recent application to the Ricardian theory of trade from mathematical economics is explored.
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Acknowledgements
This research is carried out in the framework of Matheon supported by Einstein Foundation Berlin. Further support by Deutsche Forschungsgemeinschaft (SFB-TRR109: “Discretization in Geometry and Dynamics” and SFB-TRR195: “Symbolic Tools in Mathematics and their Application”).
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Joswig, M. (2017). The Cayley Trick for Tropical Hypersurfaces with a View Toward Ricardian Economics. In: Conca, A., Gubeladze, J., Römer, T. (eds) Homological and Computational Methods in Commutative Algebra. Springer INdAM Series, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-61943-9_7
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