On affine Riemann surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913421752008704 |
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| author | Cushman, Richard |
| author_facet | Cushman, Richard |
| contents | We show that the universal covering space of a connected component of a regular level set of a smooth complex valued function on ${\mathbb{C}}^2$, which is a smooth affine Riemann surface, is ${\mathbb{R}}^2$. This implies that the orbit space of the action of the covering group on ${\mathbb{R}}^2$ is the original affine Riemann surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On affine Riemann surfaces Cushman, Richard Symplectic Geometry 53D25 We show that the universal covering space of a connected component of a regular level set of a smooth complex valued function on ${\mathbb{C}}^2$, which is a smooth affine Riemann surface, is ${\mathbb{R}}^2$. This implies that the orbit space of the action of the covering group on ${\mathbb{R}}^2$ is the original affine Riemann surface. |
| title | On affine Riemann surfaces |
| topic | Symplectic Geometry 53D25 |
| url | https://arxiv.org/abs/2407.06332 |