Even nodal surfaces of K3 type
Fuente:
arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
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| _version_ | 1866911776362201088 |
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| author | Bernardara, Marcello Fatighenti, Enrico Kapustka, Grzegorz Kapustka, Michał Manivel, Laurent Mongardi, Giovanni Tanturri, Fabio |
| author_facet | Bernardara, Marcello Fatighenti, Enrico Kapustka, Grzegorz Kapustka, Michał Manivel, Laurent Mongardi, Giovanni Tanturri, Fabio |
| contents | We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe families of nodal surfaces that can be seen as generalisations of Kummer quartic surfaces. Each of these families actually arises through two families of Fano fourfolds, whose conic bundle structures are related by hyperbolic reduction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Even nodal surfaces of K3 type Bernardara, Marcello Fatighenti, Enrico Kapustka, Grzegorz Kapustka, Michał Manivel, Laurent Mongardi, Giovanni Tanturri, Fabio Algebraic Geometry We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe families of nodal surfaces that can be seen as generalisations of Kummer quartic surfaces. Each of these families actually arises through two families of Fano fourfolds, whose conic bundle structures are related by hyperbolic reduction. |
| title | Even nodal surfaces of K3 type |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.08528 |