Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911188983480320 |
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| author | Biswas, Indranil Dumitrescu, Sorin |
| author_facet | Biswas, Indranil Dumitrescu, Sorin |
| contents | We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by Ghys. For those smooth turbulent foliations we prove that all transversely holomorphic Cartan geometries are flat. We also establish a uniqueness result for the transversely holomorphic Cartan geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry Biswas, Indranil Dumitrescu, Sorin Differential Geometry Algebraic Geometry We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by Ghys. For those smooth turbulent foliations we prove that all transversely holomorphic Cartan geometries are flat. We also establish a uniqueness result for the transversely holomorphic Cartan geometries. |
| title | Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2510.01804 |