Infinitesimal invariants of mixed Hodge structures
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929398938075136 |
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| author | Aguilar, Rodolfo Green, Mark Griffiths, Phillip |
| author_facet | Aguilar, Rodolfo Green, Mark Griffiths, Phillip |
| contents | We introduce the notion of infinitesimal variations of mixed Hodge structures and invariants associated to them. We describe these invariants in the case of a pair $(X,Y)$ with $X$ a Fano 3-fold and $Y$ a smooth anticanonical K3 surface and in more detail in the case when $X$ is a cubic threefold. In this last setting, we obtain a generic global Torelli theorem for pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinitesimal invariants of mixed Hodge structures Aguilar, Rodolfo Green, Mark Griffiths, Phillip Algebraic Geometry We introduce the notion of infinitesimal variations of mixed Hodge structures and invariants associated to them. We describe these invariants in the case of a pair $(X,Y)$ with $X$ a Fano 3-fold and $Y$ a smooth anticanonical K3 surface and in more detail in the case when $X$ is a cubic threefold. In this last setting, we obtain a generic global Torelli theorem for pairs. |
| title | Infinitesimal invariants of mixed Hodge structures |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2406.17118 |