Differentiable maps on links of complex isolated hypersurface singularities
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913223004913664 |
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| author | Saeki, Osamu Sakurai, Shuntaro |
| author_facet | Saeki, Osamu Sakurai, Shuntaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differentiable maps on links of complex isolated hypersurface singularities Saeki, Osamu Sakurai, Shuntaro Geometric Topology Complex Variables Primary 57R45, Secondary 32S50, 58K30, 58K15 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. |
| title | Differentiable maps on links of complex isolated hypersurface singularities |
| topic | Geometric Topology Complex Variables Primary 57R45, Secondary 32S50, 58K30, 58K15 |
| url | https://arxiv.org/abs/2402.02365 |