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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.18055 |
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| _version_ | 1866918446224113664 |
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| author | Moriyama, Nao |
| author_facet | Moriyama, Nao |
| contents | We discuss the relative log minimal model theory for log surfaces in the analytic setting. More precisely, we show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces which are projective over complex analytic varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18055 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the minimal model theory for log surfaces in the analytic setting Moriyama, Nao Algebraic Geometry 14E30, 32C15 We discuss the relative log minimal model theory for log surfaces in the analytic setting. More precisely, we show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces which are projective over complex analytic varieties. |
| title | Remarks on the minimal model theory for log surfaces in the analytic setting |
| topic | Algebraic Geometry 14E30, 32C15 |
| url | https://arxiv.org/abs/2505.18055 |