Mathematics – Algebraic Geometry
Scientific paper
2009-09-07
Contemporary Math. 538, (Amer. Math. Soc. 2011), 377--387
Mathematics
Algebraic Geometry
Scientific paper
For the link $M$ of a normal complex surface singularity $(X,0)$ we ask when a knot $K\subset M$ exists for which the answer to whether $K$ is the link of the zero set of some analytic germ $(X,0)\to (\mathbb C,0)$ affects the analytic structure on $(X,0)$. We show that if $M$ is an integral homology sphere then such a knot exists if and only if $M$ is not one of the Brieskorn homology spheres $M(2,3,5)$, $M(2,3,7)$, $M(2,3,11)$.
Nemethi Andras
Neumann Walter D.
Pichon Anne
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