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arXiv · 2105.03549

Almost non-degenerate functions and a Zariski pair of links

Mutsuo Oka
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Abstract

Let $f(\mathbf z)$ be an analytic function defined in the neighborhood of the origin of $\mathbb C^n$ which have some Newton degenerate faces. We generalize the Varchenko formula for the zeta function of the Milnor fibration of a Newton non-degenerate function $f$ to this case. As an application, we give an example of a pair of hypersurfaces with the same Newton boundary and the same zeta function with different tangent cones.

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Mutsuo Oka. 2021-05-08. Almost non-degenerate functions and a Zariski pair of links. https://arxiv.org/abs/2105.03549

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