Tropical Implicitization and Mixed Fiber Polytopes
Symbolic Computation
2010-06-22 v2 Algebraic Geometry
Combinatorics
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.
Cite
@article{arxiv.0706.0564,
title = {Tropical Implicitization and Mixed Fiber Polytopes},
author = {Bernd Sturmfels and Josephine Yu},
journal= {arXiv preprint arXiv:0706.0564},
year = {2010}
}