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Invariants of Newton non-degenerate surface singularities

Gabor Braun·Andras Nemethi
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Abstract

We recover the Newton diagram (modulo a natural ambiguity) from the link for any surface hypersurface singularity with non-degenerate Newton principal part whose link is a rational homology sphere. As a corollary, we show that the link determines the embedded topological type, the Milnor fibration, and the multiplicity of such a germ. This proves (even a stronger version of) Zariski's Conjecture about the multiplicity for such a singularity.

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Gabor Braun, Andras Nemethi. 2007-02-21. Invariants of Newton non-degenerate surface singularities. https://arxiv.org/abs/math/0609093

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