Boundedness results for families of non-canonically polarized projective varieties
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918518788718592 |
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| author | Ascher, Kenneth Taji, Behrouz |
| author_facet | Ascher, Kenneth Taji, Behrouz |
| contents | We prove that, over a smooth quasi-projective curve, the set of non-isotrivial, smooth and projective families of polarized varieties with a fixed Hilbert polynomial and semi-ample canonical bundle is bounded. This extends the boundedness results of Arakelov, Parshin, and Kovács--Lieblich beyond the canonically polarized case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness results for families of non-canonically polarized projective varieties Ascher, Kenneth Taji, Behrouz Algebraic Geometry We prove that, over a smooth quasi-projective curve, the set of non-isotrivial, smooth and projective families of polarized varieties with a fixed Hilbert polynomial and semi-ample canonical bundle is bounded. This extends the boundedness results of Arakelov, Parshin, and Kovács--Lieblich beyond the canonically polarized case. |
| title | Boundedness results for families of non-canonically polarized projective varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2408.15153 |