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Tropical Implicitization and Mixed Fiber Polytopes

arXiv:0706.0564

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.

21 pages, 2 figures; Typo fixed in Theorem 5.2