On the Milnor fibration for $f(\mathbf{z})\bar{g}(\mathbf{z})$

Abstract

We consider a mixed function of type $H(\mathbf{z},\bar{\mathbf{z}})=f(\mathbf{z})\bar{g}(\mathbf{z})$ where $f$ and $g$ are convenient holomorphic functions which have isolated critical points at the origin and we assume that the intersection $f=g=0$ is a complete intersection variety with an isolated singlarity at theorigin. We assume also that $H$ satisfies the multiplicity condition.We will show that $H$ has a tubular Milnor fibration and also a spherical Milnor fibration. We give examples which does not satisfy the Newton multiplicity condition where one does not have Milnor fibration and the others have Milnor fibrations.

References in corpus (2)

• Fibrations of highly singular map germs
• Thom irregularity and Milnor tube fibrations