The versal deformation of small resolutions of conic bundles over $\mathbb{P}^1\times\mathbb{P}^1$ with two sections blown down
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917272965087232 |
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| author | Kreussler, Bernd Stevens, Jan |
| author_facet | Kreussler, Bernd Stevens, Jan |
| contents | Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces over $3\mathbb{C}\mathbb{P}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles. The last type is the more special one: they deform into double solids. We give an explicit description of this deformation, in a more general context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12022 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The versal deformation of small resolutions of conic bundles over $\mathbb{P}^1\times\mathbb{P}^1$ with two sections blown down Kreussler, Bernd Stevens, Jan Algebraic Geometry Differential Geometry 32L25 (Primary) 32J17, 14J30, 32G05, 14D20 (Secondary) Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces over $3\mathbb{C}\mathbb{P}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles. The last type is the more special one: they deform into double solids. We give an explicit description of this deformation, in a more general context. |
| title | The versal deformation of small resolutions of conic bundles over $\mathbb{P}^1\times\mathbb{P}^1$ with two sections blown down |
| topic | Algebraic Geometry Differential Geometry 32L25 (Primary) 32J17, 14J30, 32G05, 14D20 (Secondary) |
| url | https://arxiv.org/abs/2409.12022 |