Computing complex and real tropical curves using monodromy
Algebraic Geometry
2016-05-16 v1 Numerical Analysis
Abstract
Tropical varieties capture combinatorial information about how coordinates of points in a classical variety approach zero or infinity. We present algorithms for computing the rays of a complex and real tropical curve defined by polynomials with constant coefficients. These algorithms rely on homotopy continuation, monodromy loops, and Cauchy integrals. Several examples are presented which are computed using an implementation that builds on the numerical algebraic geometry software Bertini.
Keywords
Cite
@article{arxiv.1605.04203,
title = {Computing complex and real tropical curves using monodromy},
author = {Daniel A. Brake and Jonathan D. Hauenstein and Cynthia Vinzant},
journal= {arXiv preprint arXiv:1605.04203},
year = {2016}
}
Comments
23 pages, 5 figures