Bifurcation values of mixed polynomials

Details Bifurcation values of mixed polynomials Bifurcation values of mixed polynomials

2010-11-22

arxiv.org/abs/1011.4884v1

Mathematics

Complex Variables

Scientific paper

We study the bifurcation locus $B(f)$ of real polynomials $f: \bR^{2n} \to \bR^2$. We find a semialgebraic approximation of $B(f)$ by using the $\rho$-regularity condition and we compare it to the Sard type theorem by Kurdyka, Orro and Simon. We introduce the Newton boundary at infinity for mixed polynomials and we extend structure results by Kushnirenko and by N\'emethi and Zaharia, under the Newton non-degeneracy assumption.

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