English

The Newton Polytope of the Implicit Equation

Combinatorics 2012-02-13 v1 Symbolic Computation Algebraic Geometry

Abstract

We apply tropical geometry to study the image of a map defined by Laurent polynomials with generic coefficients. If this image is a hypersurface then our approach gives a construction of its Newton polytope.

Keywords

Cite

@article{arxiv.math/0607368,
  title  = {The Newton Polytope of the Implicit Equation},
  author = {Bernd Sturmfels and Jenia Tevelev and Josephine Yu},
  journal= {arXiv preprint arXiv:math/0607368},
  year   = {2012}
}

Comments

18 pages, 3 figures

R2 v1 2026-07-22T17:39:02.868Z