English

Differentiable maps on links of complex isolated hypersurface singularities

Geometric Topology 2024-02-06 v1 Complex Variables

Abstract

We consider links of complex isolated hypersurface singularities in Cn+1\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 C=R2\mathbb{C} = \mathbb{R}^2 whose singular value set consists of concentric circles.

Keywords

Cite

@article{arxiv.2402.02365,
  title  = {Differentiable maps on links of complex isolated hypersurface singularities},
  author = {Osamu Saeki and Shuntaro Sakurai},
  journal= {arXiv preprint arXiv:2402.02365},
  year   = {2024}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-28T14:37:33.172Z