Non-vanishing implies numerical dimension one abundance
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911084374392832 |
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| author | Liu, Jihao Xu, Zheng |
| author_facet | Liu, Jihao Xu, Zheng |
| contents | We show that the non-vanishing conjecture implies the abundance conjecture when $ν\leq 1$. We also prove the abundance conjecture in dimension $\leq 5$ when $κ\geq 0$ and $ν\leq 1$ unconditionally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-vanishing implies numerical dimension one abundance Liu, Jihao Xu, Zheng Algebraic Geometry Complex Variables Differential Geometry 14E30, 32J27 We show that the non-vanishing conjecture implies the abundance conjecture when $ν\leq 1$. We also prove the abundance conjecture in dimension $\leq 5$ when $κ\geq 0$ and $ν\leq 1$ unconditionally. |
| title | Non-vanishing implies numerical dimension one abundance |
| topic | Algebraic Geometry Complex Variables Differential Geometry 14E30, 32J27 |
| url | https://arxiv.org/abs/2505.05250 |