On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917125931663360 |
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| author | Gongyo, Yoshinori Takayama, Shigeharu |
| author_facet | Gongyo, Yoshinori Takayama, Shigeharu |
| contents | We give a twisted version of the Kawamata semi-positivity theorem by the $\mathbb{Q}$-line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to the finite generation problem for canonical rings of Birkar's generalized pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07401 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings Gongyo, Yoshinori Takayama, Shigeharu Algebraic Geometry Complex Variables 14D06, 14E30, 32J25 We give a twisted version of the Kawamata semi-positivity theorem by the $\mathbb{Q}$-line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to the finite generation problem for canonical rings of Birkar's generalized pairs. |
| title | On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings |
| topic | Algebraic Geometry Complex Variables 14D06, 14E30, 32J25 |
| url | https://arxiv.org/abs/2404.07401 |