Mathematics – Algebraic Geometry
Scientific paper
2006-09-04
Mathematics
Algebraic Geometry
40 pages, 2 figures. Accepted by Compositio Mathematica. Prepared for publication
Scientific paper
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.
Braun Gábor
Nemethi Andras
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