Asymptotically Calabi metrics and weak Fano manifolds
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913996580323328 |
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| author | Hein, Hans-Joachim Sun, Song Viaclovsky, Jeff Zhang, Ruobing |
| author_facet | Hein, Hans-Joachim Sun, Song Viaclovsky, Jeff Zhang, Ruobing |
| contents | We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises from a generalized Tian-Yau construction on the compactification, and we prove a strong uniqueness theorem. We also give an application of this result to the surface case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_09287 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Asymptotically Calabi metrics and weak Fano manifolds Hein, Hans-Joachim Sun, Song Viaclovsky, Jeff Zhang, Ruobing Differential Geometry Algebraic Geometry Complex Variables We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises from a generalized Tian-Yau construction on the compactification, and we prove a strong uniqueness theorem. We also give an application of this result to the surface case. |
| title | Asymptotically Calabi metrics and weak Fano manifolds |
| topic | Differential Geometry Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2111.09287 |