Toric resolutions of strongly mixed weighted homogeneous polynomial germs of type J₁₀⁻

We consider toric resolutions of some strongly mixed weighted homogeneous polynomials of type J₁₀⁻. We show that the strongly mixed weighted homogeneous polynomial f := f2,2,1,2,1,4\ (k=3) (see 3) has no mixed critical points on C^*² (Lemma 14), and moreover, show that the strict transform V of the mixed hypersurface singularity V := f⁻¹(0) via the toric modification π̂ : X → C², where we set f := f2,2,1,2,1,4\ (k=3), is not only a real analytic manifold outside of V ∩ π̂⁻¹() but also a real analytic manifold as a germ of V ∩ π̂⁻¹() (Theorem 15).