%0 Journal Article %T Mixed functions of strongly polar weighted homogeneous face type %A Mutsuo Oka %J Mathematics %D 2012 %I arXiv %X Let $f(\bf z,\bar{\bf z})$ be a mixed polynomial with strongly non-degenerate face functions. We consider a canonical toric modification $\pi:\,X\to \Bbb C^n$ and a polar modification $\pi_{\Bbb R}:Y\to X$. We will show that the toric modification resolves topologically the singularity of $V$ and the zeta function of the Milnor fibration of $f$ is described by a formula of a Varchenko type. %U http://arxiv.org/abs/1202.2166v1