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arXiv · 2108.08193

On the Milnor fibration of certain Newton degenerate functions

Christophe Eyral·Mutsuo Oka
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Abstract

It is well known that the diffeomorphism-type of the Milnor fibration of a (Newton) non-degenerate polynomial function $f$ is uniquely determined by the Newton boundary of $f$. In the present paper, we generalize this result to certain degenerate functions, namely we show that the diffeomorphism-type of the Milnor fibration of a (possibly degenerate) polynomial function of the form $f=f^1\cdots f^{k_0}$ is uniquely determined by the Newton boundaries of $f^1,\ldots, f^{k_0}$ if $\{f^{k_1}=\cdots=f^{k_m}=0\}$ is a non-degenerate complete intersection variety for any $k_1,\ldots,k_m\in \{1,\ldots, k_0\}$.

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Christophe Eyral, Mutsuo Oka. 2021-08-18. On the Milnor fibration of certain Newton degenerate functions. https://arxiv.org/abs/2108.08193

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