Minimal model program for algebraically integrable adjoint foliated structures
Fuente:
arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912002232811520 |
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| author | Cascini, Paolo Han, Jingjun Liu, Jihao Meng, Fanjun Spicer, Calum Svaldi, Roberto Xie, Lingyao |
| author_facet | Cascini, Paolo Han, Jingjun Liu, Jihao Meng, Fanjun Spicer, Calum Svaldi, Roberto Xie, Lingyao |
| contents | For $\mathbb Q$-factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we deduce the existence of the minimal model program for such structures.
We also prove the base-point-freeness theorem for such structures of general type and establish an adjunction formula and the existence of $\mathbb Q$-factorial quasi-dlt modifications for algebraically integrable adjoint foliated structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal model program for algebraically integrable adjoint foliated structures Cascini, Paolo Han, Jingjun Liu, Jihao Meng, Fanjun Spicer, Calum Svaldi, Roberto Xie, Lingyao Algebraic Geometry Dynamical Systems 14E30, 37F75 For $\mathbb Q$-factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we deduce the existence of the minimal model program for such structures. We also prove the base-point-freeness theorem for such structures of general type and establish an adjunction formula and the existence of $\mathbb Q$-factorial quasi-dlt modifications for algebraically integrable adjoint foliated structures. |
| title | Minimal model program for algebraically integrable adjoint foliated structures |
| topic | Algebraic Geometry Dynamical Systems 14E30, 37F75 |
| url | https://arxiv.org/abs/2408.14258 |