Invariants of Newton non-degenerate surface singularities
arXiv:math/0609093
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.
40 pages, 2 figures. Accepted by Compositio Mathematica. Prepared for publication