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arXiv · 1809.00545

On the connectivity of Milnor fiber for mixed functions

Mutsuo Oka
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Abstract

In this note, we prove the connectivity of the Milnor fiber for a mixed polynomial $f(\mathbf z,\bar{\mathbf z})$, assuming the existence of a sequence of smooth points of $f^{-1}(0)$ converging to the origin. This result gives also a another proof for the connectivity of the Milnor fiber of a non-reduced complex analytic function which is proved by A. Dimca

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Mutsuo Oka. 2018-09-03. On the connectivity of Milnor fiber for mixed functions. https://arxiv.org/abs/1809.00545

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