On threefolds with the smallest nontrivial monodromy group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929447244922880 |
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| author | Lvovski, Serge |
| author_facet | Lvovski, Serge |
| contents | Using an adjunction-theoretic result due to A.J.Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on $H^2$ of its smooth hyperplane section is $\mathbb Z/2\mathbb Z$. The possibility of such a classification was announced by F.L.Zak in 1991. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_10911 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On threefolds with the smallest nontrivial monodromy group Lvovski, Serge Algebraic Geometry 14D05, 14N30 Using an adjunction-theoretic result due to A.J.Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on $H^2$ of its smooth hyperplane section is $\mathbb Z/2\mathbb Z$. The possibility of such a classification was announced by F.L.Zak in 1991. |
| title | On threefolds with the smallest nontrivial monodromy group |
| topic | Algebraic Geometry 14D05, 14N30 |
| url | https://arxiv.org/abs/2201.10911 |