English

The bifurcation set of a rational function via Newton polytopes

Algebraic Geometry 2020-12-29 v2

Abstract

The bifurcation sets of polynomial functions have been studied by many mathematicians from various points of view. In particular, N\'emethi and Zaharia described them in terms of Newton polytopes. In this paper, we will show analogous results for rational functions.

Keywords

Cite

@article{arxiv.2003.13308,
  title  = {The bifurcation set of a rational function via Newton polytopes},
  author = {Tat Thang Nguyen and Takahiro Saito and Kiyoshi Takeuchi},
  journal= {arXiv preprint arXiv:2003.13308},
  year   = {2020}
}

Comments

19 pages, 3 figures, to appear in Mathematische Zeitschrift

R2 v1 2026-06-23T14:31:34.759Z