On the Log Abundance for Compact {K{ä}hler} threefolds II
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909646319517696 |
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| author | Das, Omprokash Ou, Wenhao |
| author_facet | Das, Omprokash Ou, Wenhao |
| contents | In this article we show that if $(X, Δ)$ is a log canonical compact Kähler threefold pair such that $K_X+Δ$ is nef and the numerical dimension $ν(X, K_X+Δ)=2$, then $K_X+Δ$ is semi-ample. This result combined with our previous work in arXiv:2201.01202 shows that the log abundance holds for log canonical compact Kähler threefold pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00671 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Log Abundance for Compact {K{ä}hler} threefolds II Das, Omprokash Ou, Wenhao Algebraic Geometry Complex Variables In this article we show that if $(X, Δ)$ is a log canonical compact Kähler threefold pair such that $K_X+Δ$ is nef and the numerical dimension $ν(X, K_X+Δ)=2$, then $K_X+Δ$ is semi-ample. This result combined with our previous work in arXiv:2201.01202 shows that the log abundance holds for log canonical compact Kähler threefold pairs. |
| title | On the Log Abundance for Compact {K{ä}hler} threefolds II |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2306.00671 |