Bifurcation values and monodromy of mixed polynomials

We study the bifurcation values of real polynomial maps $f : \mathbb{R}^{2n} \to \mathbb{R}^2$, which reflect the lack of asymptotic regularity at infinity. We formulate real counterparts of some structure results, which have been previously proved in case of complex polynomials by Kushnirenko, Némethi and Zaharia and other authors, emphasizing the typical real phenomena that occur.

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Published 2 May 2012