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The Cayley Trick for Tropical Hypersurfaces with a View Toward Ricardian Economics

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Homological and Computational Methods in Commutative Algebra

Part of the book series: Springer INdAM Series ((SINDAMS,volume 20))

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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Authors and Affiliations

  1. Institut für Mathematik, MA 6-2, TU Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany

    Michael Joswig

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  1. Michael Joswig
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Correspondence to Michael Joswig .

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Editors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Genova, Italy

    Aldo Conca

  2. Department of Mathematics, San Francisco State University, San Francisco, California, USA

    Joseph Gubeladze

  3. FB Mathematik/Informatik, Universität Osnabrück, Osnabrück, Germany

    Tim Römer

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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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