Projectively flat foliations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916082119344128 |
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| author | Druel, Stéphane |
| author_facet | Druel, Stéphane |
| contents | We describe the structure of regular codimension $1$ foliations with numerically projectively flat tangent bundle on complex projective manifolds of dimension at least $4$. Along the way, we prove that either the normal bundle of a regular codimension $1$ foliation is pseudo-effective, or its conormal bundle is nef. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03311 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projectively flat foliations Druel, Stéphane Algebraic Geometry 37F75, 32Q30, 32Q26, 14E20, 14E30, 53B10 We describe the structure of regular codimension $1$ foliations with numerically projectively flat tangent bundle on complex projective manifolds of dimension at least $4$. Along the way, we prove that either the normal bundle of a regular codimension $1$ foliation is pseudo-effective, or its conormal bundle is nef. |
| title | Projectively flat foliations |
| topic | Algebraic Geometry 37F75, 32Q30, 32Q26, 14E20, 14E30, 53B10 |
| url | https://arxiv.org/abs/2401.03311 |