One-dimensional Local Families of Complex K3 Surfaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917680988028928 |
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| author | Carini, Riccardo Viganò, Francesco |
| author_facet | Carini, Riccardo Viganò, Francesco |
| contents | For any complex K3 surface $X$, we construct a one-dimensional deformation in which all integers $ρ$ with $0 \leq ρ\leq 20$ occur as Picard numbers of some fibres. In contrast, we prove that the generic one-dimensional local family of K3 surfaces admits only $0$ and $1$ as Picard numbers of the fibres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_13003 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | One-dimensional Local Families of Complex K3 Surfaces Carini, Riccardo Viganò, Francesco Algebraic Geometry 14J28 For any complex K3 surface $X$, we construct a one-dimensional deformation in which all integers $ρ$ with $0 \leq ρ\leq 20$ occur as Picard numbers of some fibres. In contrast, we prove that the generic one-dimensional local family of K3 surfaces admits only $0$ and $1$ as Picard numbers of the fibres. |
| title | One-dimensional Local Families of Complex K3 Surfaces |
| topic | Algebraic Geometry 14J28 |
| url | https://arxiv.org/abs/2209.13003 |