On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911844944314368 |
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| author | Hacon, Christopher Paun, Mihai |
| author_facet | Hacon, Christopher Paun, Mihai |
| contents | In this article we prove analogs of Kawamata's canonical bundle formula, Kawamata subadjunction and plt/lc inversion of adjunction for generalized pairs on Kaehler varieties. We also show that a conjecture of BDPPin dimension n-1 implies that the cone theorem holds for any n-dimensional Kaehler generalized klt pair. Along the way, we obtain more complete versions of some results due to Collins-Tosatti and Cao-Hoering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs Hacon, Christopher Paun, Mihai Algebraic Geometry Complex Variables In this article we prove analogs of Kawamata's canonical bundle formula, Kawamata subadjunction and plt/lc inversion of adjunction for generalized pairs on Kaehler varieties. We also show that a conjecture of BDPPin dimension n-1 implies that the cone theorem holds for any n-dimensional Kaehler generalized klt pair. Along the way, we obtain more complete versions of some results due to Collins-Tosatti and Cao-Hoering. |
| title | On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2404.12007 |