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VOL. 66 | 2015 On fibered links of singularities of polar weighted homogeneous mixed polynomials

Abstract

Let $f(\mathbf{z},\bar{\mathbf{z}})$ be a polar weighted homogeneous mixed polynomial. If $f(\mathbf{z}, \bar{\mathbf{z}})$ has an isolated singularity at the origin $\mathbf{o}$, then $f(\mathbf{z}, \bar{\mathbf{z}})$ gives a fibered link in a sphere centered at $\mathbf{o}$. In this paper, we study fibered links which are determined by polar weighted homogeneous mixed polynomials and show the existence of mixed polynomials whose Milnor fibers cannot be obtained from a disk by plumbings of Hopf bands.

Information

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

zbMATH: 1360.32027
MathSciNet: MR3382044

Digital Object Identifier: 10.2969/aspm/06610081

Subjects:
Primary: 14J17, 14P25, 57M25

Rights: Copyright © 2015 Mathematical Society of Japan

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