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VOL. 66 | 2015 Mixed functions of strongly polar weighted homogeneous face type

Abstract

Let $f(\mathbf{z}, \bar{\mathbf{z}})$ be a mixed polynomial with strongly non-degenerate face functions. We consider a canonical toric modification $\pi: X\to\mathbb{C}^n$ and a polar modification $\pi_{\mathbb{R}}: Y\to X$. 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.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.32028
MathSciNet: MR3382050

Digital Object Identifier: 10.2969/aspm/06610173

Subjects:
Primary: 14P05, 32S55

Rights: Copyright © 2015 Mathematical Society of Japan

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