A gluing construction of constant scalar curvature Kähler metrics of Poincaré type
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917536887472128 |
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| author | Feng, Yueqing |
| author_facet | Feng, Yueqing |
| contents | We consider a compact Kähler manifold admitting a constant scalar curvature Kähler metric and with no nontrivial holomorphic vector fields. After blowing up the manifold at finitely many points, we prove the existence of constant scalar curvature Kähler metrics on the complement of the exceptional divisors, with Poincaré-type singularities along them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A gluing construction of constant scalar curvature Kähler metrics of Poincaré type Feng, Yueqing Differential Geometry We consider a compact Kähler manifold admitting a constant scalar curvature Kähler metric and with no nontrivial holomorphic vector fields. After blowing up the manifold at finitely many points, we prove the existence of constant scalar curvature Kähler metrics on the complement of the exceptional divisors, with Poincaré-type singularities along them. |
| title | A gluing construction of constant scalar curvature Kähler metrics of Poincaré type |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.11952 |