Construction of negatively curved complete intersections
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866914386866601984 |
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| author | Mohsen, Jean-Paul |
| author_facet | Mohsen, Jean-Paul |
| contents | Using the Donaldson-Auroux theory, we construct complete intersections in complex projective manifolds, which are negatively curved in various ways. In particular, we prove the existence of compact simply connected Kahler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces and we obtain bounds for their Kobayashi hyperbolic metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_10411 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Construction of negatively curved complete intersections Mohsen, Jean-Paul Algebraic Geometry Differential Geometry Using the Donaldson-Auroux theory, we construct complete intersections in complex projective manifolds, which are negatively curved in various ways. In particular, we prove the existence of compact simply connected Kahler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces and we obtain bounds for their Kobayashi hyperbolic metric. |
| title | Construction of negatively curved complete intersections |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/1805.10411 |