Examples of Toric Scalar-flat Kähler Surfaces with Mixed-type Ends
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929574643761152 |
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| author | Feng, Yueqing |
| author_facet | Feng, Yueqing |
| contents | Given a strictly unbounded toric symplectic 4-manifold, we explicitly construct complete toric scalar-flat Kähler metrics on the complement of a toric divisor. These symplectic 4-manifolds correspond to a specific class of non-compact Kähler surfaces. We also provide an alternative construction of toric scalar-flat Kähler metrics with conical singularity along the toric divisor, following the approach of Abreu and Sena-Dias. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Examples of Toric Scalar-flat Kähler Surfaces with Mixed-type Ends Feng, Yueqing Differential Geometry Symplectic Geometry Given a strictly unbounded toric symplectic 4-manifold, we explicitly construct complete toric scalar-flat Kähler metrics on the complement of a toric divisor. These symplectic 4-manifolds correspond to a specific class of non-compact Kähler surfaces. We also provide an alternative construction of toric scalar-flat Kähler metrics with conical singularity along the toric divisor, following the approach of Abreu and Sena-Dias. |
| title | Examples of Toric Scalar-flat Kähler Surfaces with Mixed-type Ends |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2411.01459 |