Mixed functions of strongly polar weighted homogeneous face type

Details Mixed functions of strongly polar weighted homogeneous face type Mixed functions of strongly polar weighted homogeneous face type

2012-02-10

arxiv.org/abs/1202.2166v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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