Abstract
A. Némethi and A. Zaharia have defined the explicit set for a complex polynomial function : and conjectured that the bifurcation set of the global fibration of is given by the union of the set of critical values and the explicit set of . They have proved only the case and is Newton non-degenerate. In the present paper we will prove this for the case , containing the Newton degenerate case, by using toric modifications and give an expression of the bifurcation set of in the words of Newton polygons.
Citation
Masaharu ISHIKAWA. "The bifurcation set of a complex polynomial function of two variables and the Newton polygons of singularities at infinity." J. Math. Soc. Japan 54 (1) 161 - 196, January, 2002. https://doi.org/10.2969/jmsj/1191593959
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