English

Computing tropical curves via homotopy continuation

Algebraic Geometry 2016-08-12 v1

Abstract

Exploiting a connection between amoebas and tropical curves, we devise a method for computing tropical curves using numerical algebraic geometry and give an implementation. As an application, we use this technique to compute Newton polygons of AA-polynomials of knots.

Keywords

Cite

@article{arxiv.1408.3105,
  title  = {Computing tropical curves via homotopy continuation},
  author = {Anders Jensen and Anton Leykin and Josephine Yu},
  journal= {arXiv preprint arXiv:1408.3105},
  year   = {2016}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-22T05:28:12.329Z