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arXiv · 1503.06288

Towards effective detection of the bifurcation locus of real polynomial maps

Luis Renato G. Dias·Susumu Tanabé·Mihai Tibar
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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.

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Luis Renato G. Dias, Susumu Tanabé, Mihai Tibar. 2015-03-21. Towards effective detection of the bifurcation locus of real polynomial maps. https://doi.org/10.1007/s10208-016-9303-2

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