Title :

Bifurcation values of mixed polynomials

Author(s) :

Chen, Ying [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Tibar, Mihai [Auteur correspondant]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Math. Research Letters

Pages :

59-79

Publication date :

2012-01-20

HAL domain(s) :

Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Topologie algébrique [math.AT]

English abstract : [en]

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 ...
Show more >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 Némethi and Zaharia, under the Newton non-degeneracy assumption.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Singularités réelles

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL