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April, 2021 On the Milnor fibration for $f(\boldsymbol{z}) \bar{g}(\boldsymbol{z})$ II
Mutsuo OKA
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J. Math. Soc. Japan 73(2): 649-669 (April, 2021). DOI: 10.2969/jmsj/83328332

Abstract

We consider a mixed function of type $H(\boldsymbol{z}, \bar{\boldsymbol{z}}) = f(\boldsymbol{z}) \bar{g} (\boldsymbol{z})$ where $f$ and $g$ are holomorphic functions which are non-degenerate with respect to the Newton boundaries. We assume also that the variety $f = g = 0$ is a non-degenerate complete intersection variety. In our previous paper, we considered the case that $f, g$ are convenient so that they have isolated singularities. In this paper we do not assume the convenience of $f$ and $g$. In non-convenient case, two hypersurfaces may have non-isolated singularities at the origin. We will show that $H$ still has both a tubular and a spherical Milnor fibrations under the local tame non-degeneracy and the toric multiplicity condition. We also prove the equivalence of two fibrations.

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Mutsuo OKA. "On the Milnor fibration for $f(\boldsymbol{z}) \bar{g}(\boldsymbol{z})$ II." J. Math. Soc. Japan 73 (2) 649 - 669, April, 2021. https://doi.org/10.2969/jmsj/83328332

Information

Received: 17 September 2019; Revised: 15 January 2020; Published: April, 2021
First available in Project Euclid: 23 January 2021

Digital Object Identifier: 10.2969/jmsj/83328332

Subjects:
Primary: 14J70
Secondary: 14J17, 32S25

Rights: Copyright ©2021 Mathematical Society of Japan

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Vol.73 • No. 2 • April, 2021
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