Rank two Weak Fano bundles on Fano threefolds of Picard rank one
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910929558437888 |
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| author | Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo |
| author_facet | Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo |
| contents | We classify rank two vector bundles on a Fano threefold of Picard rank one whose projectivizations are weak Fano. We also prove the existence of examples for each case of the classification result. Our classification includes detailed resolutions of them on the quadric threefold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rank two Weak Fano bundles on Fano threefolds of Picard rank one Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo Algebraic Geometry 14J30, 14J45, 14J60 We classify rank two vector bundles on a Fano threefold of Picard rank one whose projectivizations are weak Fano. We also prove the existence of examples for each case of the classification result. Our classification includes detailed resolutions of them on the quadric threefold. |
| title | Rank two Weak Fano bundles on Fano threefolds of Picard rank one |
| topic | Algebraic Geometry 14J30, 14J45, 14J60 |
| url | https://arxiv.org/abs/2505.03263 |