A generalized non-vanishing theorem on surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916447636160512 |
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| author | Liu, Jihao Xie, Lingyao |
| author_facet | Liu, Jihao Xie, Lingyao |
| contents | We show that the anti-canonical bundle of any $\mathbb Q$-factorial surface is numerically effective if and only if it is pseudo-effective. To prove this, we establish a numerical non-vanishing theorem for surfaces polarized with pseudo-effective divisors. The latter answers a question of C. Fontanari. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generalized non-vanishing theorem on surfaces Liu, Jihao Xie, Lingyao Algebraic Geometry 14E30, 14B05 We show that the anti-canonical bundle of any $\mathbb Q$-factorial surface is numerically effective if and only if it is pseudo-effective. To prove this, we establish a numerical non-vanishing theorem for surfaces polarized with pseudo-effective divisors. The latter answers a question of C. Fontanari. |
| title | A generalized non-vanishing theorem on surfaces |
| topic | Algebraic Geometry 14E30, 14B05 |
| url | https://arxiv.org/abs/2410.15457 |