Towards effective detection of the bifurcation locus of real polynomial maps

Abstract

We answer to a problem raised by recent work of Jelonek and Kurdyka: how can one detect by rational arcs the bifurcation locus of a polynomial map $\bR^n\to\bR^p$ in case $p>1$. We describe an effective estimation of the "nontrivial" part of the bifurcation locus.

12p, more details to proofs and new Lemma 2.3, Remark 2.10

References in corpus (1)

• Detecting bifurcation values at infinity of real polynomials

Cited by in corpus (4)

• On the existence of Pareto solutions for polynomial vector optimization problems
• Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials
• Polar degree and vanishing cycles
• Global index of real polynomials