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arxiv: 1503.06288 · v3 · pith:Q3G372TTnew · submitted 2015-03-21 · 🧮 math.AG · math.OC

Towards effective detection of the bifurcation locus of real polynomial maps

classification 🧮 math.AG math.OC
keywords bifurcationlocuseffectivepolynomialanswerarcscasedescribe
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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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