On deformations of isolated singularities of polar weighted homogeneous mixed polynomials

Abstract

In the present paper, we deform isolated singularities of $f\bar{g}$, where $f$ and $g$ are $2$-variable weighted homogeneous complex polynomials, and show that there exists a deformation of $f\bar{g}$ which has only indefinite fold singularities and mixed Morse singularities.