The Topology of a Hypersurface Germ f in Three Variables
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Abstract
Let \( f:(\mathbb{C}^{n},0)\rightarrow(\mathbb{C},0)\, \) be the germ of a complex analytic function and set \( (V_{f},0)=(f^{-1}(0),0).\) Its singular locus \((Sing(V_{f}),0)\) consists of points \(\sum:=\{x:\partial {f}(x)=0\}.\)
Keywords
Irreducible Component Homotopy Type Singular Locus Homology Sphere Hypersurface Singularity
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© Springer-Verlag Berlin Heidelberg 2012