A characterization of uniruled compact Kähler manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917906716033024 |
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| author | Ou, Wenhao |
| author_facet | Ou, Wenhao |
| contents | We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kähler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Păun and of Druel to foliations on compact Kähler manifolds. As an application, we prove that a compact Kähler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A characterization of uniruled compact Kähler manifolds Ou, Wenhao Algebraic Geometry Complex Variables We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kähler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Păun and of Druel to foliations on compact Kähler manifolds. As an application, we prove that a compact Kähler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective. |
| title | A characterization of uniruled compact Kähler manifolds |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2501.18088 |