A footnote to a theorem of Kawamata
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929214969610240 |
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| author | Lopes, Margarida Mendes Pardini, Rita Tirabassi, Sofia |
| author_facet | Lopes, Margarida Mendes Pardini, Rita Tirabassi, Sofia |
| contents | Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note we show that under these hypotheses the quasi-Albanese map is proper in codimension 1 as conjectured by Iitaka. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11776 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A footnote to a theorem of Kawamata Lopes, Margarida Mendes Pardini, Rita Tirabassi, Sofia Algebraic Geometry 14E05, 14J10, 14K99, 14L40, 14R05 Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note we show that under these hypotheses the quasi-Albanese map is proper in codimension 1 as conjectured by Iitaka. |
| title | A footnote to a theorem of Kawamata |
| topic | Algebraic Geometry 14E05, 14J10, 14K99, 14L40, 14R05 |
| url | https://arxiv.org/abs/2210.11776 |