On projective threefolds with two-dimensional space of vanishing cycles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916771087253504 |
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| author | Fedorov, Timofey |
| author_facet | Fedorov, Timofey |
| contents | We obtain a complete list of smooth projective threefolds over $\mathbb C$ for which the dimension of the space of vanishing cycles (in $H^2$ of the smooth hyperplane section) equals $2$. We also obtain a complete list of rank 2 very ample vector bundles $E$ on smooth projective surfaces with $c_2(E) = 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On projective threefolds with two-dimensional space of vanishing cycles Fedorov, Timofey Algebraic Geometry We obtain a complete list of smooth projective threefolds over $\mathbb C$ for which the dimension of the space of vanishing cycles (in $H^2$ of the smooth hyperplane section) equals $2$. We also obtain a complete list of rank 2 very ample vector bundles $E$ on smooth projective surfaces with $c_2(E) = 3$. |
| title | On projective threefolds with two-dimensional space of vanishing cycles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.13027 |