Weighted four-dimensional Fano hypersurfaces of K3 type
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909656407867392 |
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| author | Bertini, Valeria Denisi, Francesco Antonio Fatighenti, Enrico Grossi, Annalisa |
| author_facet | Bertini, Valeria Denisi, Francesco Antonio Fatighenti, Enrico Grossi, Annalisa |
| contents | We study weighted Fano fourfolds of K3 type realized as hypersurfaces in weighted projective spaces. Under the additional assumption that the singular locus has dimension at most one, we prove that only finitely many such families exist. We provide the complete list and analyze their rationality properties, as well as their singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18014 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted four-dimensional Fano hypersurfaces of K3 type Bertini, Valeria Denisi, Francesco Antonio Fatighenti, Enrico Grossi, Annalisa Algebraic Geometry We study weighted Fano fourfolds of K3 type realized as hypersurfaces in weighted projective spaces. Under the additional assumption that the singular locus has dimension at most one, we prove that only finitely many such families exist. We provide the complete list and analyze their rationality properties, as well as their singularities. |
| title | Weighted four-dimensional Fano hypersurfaces of K3 type |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.18014 |