Transversely projective structures on smooth foliations on surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916827419901952 |
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| author | Fazoli, Gabriel Melo, Caio Pereira, Jorge Vitório |
| author_facet | Fazoli, Gabriel Melo, Caio Pereira, Jorge Vitório |
| contents | Brunella's classification implies that every smooth foliation on a compact complex surface admits a singular transversely projective structure. However, Biswas and Dumitrescu's recent work shows that certain foliations on compact complex surfaces, despite possessing a singular transversely projective structure, do not admit a regular transversely projective structure. Here, we describe the smooth foliations on compact complex surfaces which fail to possess a regular transversely projective structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transversely projective structures on smooth foliations on surfaces Fazoli, Gabriel Melo, Caio Pereira, Jorge Vitório Complex Variables 32M25, 37F75, 53C12, 14D06 Brunella's classification implies that every smooth foliation on a compact complex surface admits a singular transversely projective structure. However, Biswas and Dumitrescu's recent work shows that certain foliations on compact complex surfaces, despite possessing a singular transversely projective structure, do not admit a regular transversely projective structure. Here, we describe the smooth foliations on compact complex surfaces which fail to possess a regular transversely projective structure. |
| title | Transversely projective structures on smooth foliations on surfaces |
| topic | Complex Variables 32M25, 37F75, 53C12, 14D06 |
| url | https://arxiv.org/abs/2405.02273 |