The log minimal model program for Kähler $3$-folds
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866911831218454528 |
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| author | Das, Omprokash Hacon, Christopher |
| author_facet | Das, Omprokash Hacon, Christopher |
| contents | In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X, B)$ on a compact Kähler $3$-fold holds. More specifically, we show that after finitely many divisorial contractions and flips we obtain either a (log) minimal model or a Mori fiber space. We also prove a base point free theorem Kähler $3$-folds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_05924 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The log minimal model program for Kähler $3$-folds Das, Omprokash Hacon, Christopher Algebraic Geometry Complex Variables In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X, B)$ on a compact Kähler $3$-fold holds. More specifically, we show that after finitely many divisorial contractions and flips we obtain either a (log) minimal model or a Mori fiber space. We also prove a base point free theorem Kähler $3$-folds. |
| title | The log minimal model program for Kähler $3$-folds |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2009.05924 |