MMP for Generalized Pairs on Kähler 3-folds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912261274075136 |
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| author | Das, Omprokash Hacon, Christopher Yáñez, José Ignacio |
| author_facet | Das, Omprokash Hacon, Christopher Yáñez, José Ignacio |
| contents | In this article we define generalized pairs $(X, B+\boldsymbolβ)$ where $X$ is an analytic variety and $\boldsymbolβ$ is a b-(1,1) current. We then prove that almost all standard results of the MMP hold in this generality for compact Kähler varieties of dim $X\leq 3$. More specifically, we prove the cone theorem, existence of flips, existence of log terminal models, log canonical models and Mori fiber spaces, the geography of log canonical and log terminal models, etc. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00524 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | MMP for Generalized Pairs on Kähler 3-folds Das, Omprokash Hacon, Christopher Yáñez, José Ignacio Algebraic Geometry Complex Variables In this article we define generalized pairs $(X, B+\boldsymbolβ)$ where $X$ is an analytic variety and $\boldsymbolβ$ is a b-(1,1) current. We then prove that almost all standard results of the MMP hold in this generality for compact Kähler varieties of dim $X\leq 3$. More specifically, we prove the cone theorem, existence of flips, existence of log terminal models, log canonical models and Mori fiber spaces, the geography of log canonical and log terminal models, etc. |
| title | MMP for Generalized Pairs on Kähler 3-folds |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2305.00524 |