Differentiable maps on links of complex isolated hypersurface singularities

Abstract

We consider links of complex isolated hypersurface singularities in ${\mathbb{C}}^{n+1}$ and study differentiable maps defined by restricting holomorphic functions to the links. We give an explicit example in which such a restriction gives a fold map into the plane $\mathbb{C}={\mathbb{R}}^2$ whose singular value set consists of concentric circles.

9 pages, 3 figures