Transcendental Minimal Model Program for Projective Varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913606071746560 |
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| author | Das, Omprokash Hacon, Christopher |
| author_facet | Das, Omprokash Hacon, Christopher |
| contents | In this article we prove that if $(X,B+β)$ is a projective generalized klt pair such that $B+β$ is big, then $(X,B+β)$ admits a good Minimal Model or Mori fiber space. In particular, this implies Tossati's transcendental base-point-free conjecture for projective manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transcendental Minimal Model Program for Projective Varieties Das, Omprokash Hacon, Christopher Algebraic Geometry Complex Variables In this article we prove that if $(X,B+β)$ is a projective generalized klt pair such that $B+β$ is big, then $(X,B+β)$ admits a good Minimal Model or Mori fiber space. In particular, this implies Tossati's transcendental base-point-free conjecture for projective manifolds. |
| title | Transcendental Minimal Model Program for Projective Varieties |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2412.07650 |