Tropical Implicitization and Mixed Fiber Polytopes

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Sturmfels, Bernd
Yu, Josephine
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Abstract
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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.
Comment: 21 pages, 2 figures; Typo fixed in Theorem 5.2
Keywords
Computer Science - Symbolic Computation, Mathematics - Algebraic Geometry, Mathematics - Combinatorics, 14Q10, 52B20, 52B55, 65D18
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