Rank two weak Fano bundles on del Pezzo threefolds of degree five
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909603112943616 |
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| author | Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo |
| author_facet | Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo |
| contents | This paper classifies rank two vector bundles on a del Pezzo threefold $X$ of degree five whose projectivizations are weak Fano. This classification is then used to determine properties of the moduli spaces of such vector bundles on $X$, and we determine precisely when the moduli spaces are smooth, irreducible, and fine. We also prove that such a bundle on a del Pezzo threefold of degree one or two splits, and as result give a classification of weak Fano bundles of rank two on a del Pezzo threefold of Picard rank one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_10768 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Rank two weak Fano bundles on del Pezzo threefolds of degree five Fukuoka, Takeru Hara, Wahei Ishikawa, Daizo Algebraic Geometry 14J30, 14J45, 14J60 This paper classifies rank two vector bundles on a del Pezzo threefold $X$ of degree five whose projectivizations are weak Fano. This classification is then used to determine properties of the moduli spaces of such vector bundles on $X$, and we determine precisely when the moduli spaces are smooth, irreducible, and fine. We also prove that such a bundle on a del Pezzo threefold of degree one or two splits, and as result give a classification of weak Fano bundles of rank two on a del Pezzo threefold of Picard rank one. |
| title | Rank two weak Fano bundles on del Pezzo threefolds of degree five |
| topic | Algebraic Geometry 14J30, 14J45, 14J60 |
| url | https://arxiv.org/abs/2105.10768 |