Tropical Implicitization and Mixed Fiber Polytopes

B. Sturmfels,Josephine Yu

Published 2007 in arXiv.org

ABSTRACT

The software TrIm offers implementations of tropical implicitization and tropical elimination, as developed by Tevelev and the authors. Given a polynomial map with generic coefficients, TrIm computes the tropical variety of the image. When the image is a hypersurface, the output is the Newton polytope of the defining polynomial. TrIm can thus be used to compute mixed fiber polytopes, including secondary polytopes.

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