One-nodal Fano threefolds with Picard number one
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909387185979392 |
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| author | Kuznetsov, Alexander Prokhorov, Yuri |
| author_facet | Kuznetsov, Alexander Prokhorov, Yuri |
| contents | We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13782 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | One-nodal Fano threefolds with Picard number one Kuznetsov, Alexander Prokhorov, Yuri Algebraic Geometry We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties. |
| title | One-nodal Fano threefolds with Picard number one |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.13782 |