Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials
Algebraic Geometry
2021-07-20 v2
Abstract
We show that the variation of the topology at infinity of a two-variable polynomial function is localisable at a finite number of "atypical points" at infinity. We construct an effective algorithm with low complexity in order to detect sharply the bifurcation values of the polynomial function.
Keywords
Cite
@article{arxiv.2004.08099,
title = {Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials},
author = {Luis Renato G. Dias and Cezar Joiţa and Mihai Tibăr},
journal= {arXiv preprint arXiv:2004.08099},
year = {2021}
}
Comments
minor edits in this last version before print; to appear in Math. Z