Rigid currents in birational geometry
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911773655826432 |
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| author | Lazić, Vladimir Xie, Zhixin |
| author_facet | Lazić, Vladimir Xie, Zhixin |
| contents | A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper are: (a) to give a systematic treatment of rigid currents, (b) to demonstrate how they appear within the Minimal Model Program, and (c) to give many new examples of rigid currents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid currents in birational geometry Lazić, Vladimir Xie, Zhixin Algebraic Geometry Complex Variables 14E30, 32U40, 32J25 A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper are: (a) to give a systematic treatment of rigid currents, (b) to demonstrate how they appear within the Minimal Model Program, and (c) to give many new examples of rigid currents. |
| title | Rigid currents in birational geometry |
| topic | Algebraic Geometry Complex Variables 14E30, 32U40, 32J25 |
| url | https://arxiv.org/abs/2402.05807 |