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25 April 2024
 
  » arxiv » 1011.4884

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Bifurcation values of mixed polynomials
Chen Ying ; Mihai Tibar ;
Date 22 Nov 2010
AbstractWe study the bifurcation locus $B(f)$ of real polynomials $f: R^{2n} o R^2$. We find a semialgebraic approximation of $B(f)$ by using the $ ho$-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.
Source arXiv, 1011.4884
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