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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.09441 |
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| _version_ | 1866917667515924480 |
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| author | Fontanari, Claudio |
| author_facet | Fontanari, Claudio |
| contents | Let $(X,Δ)$ be a projective, $\mathbb{Q}$-factorial log canonical pair and let $L$ be a pseudoeffective $\mathbb{Q}$-divisor on $X$ such that $K_X + Δ+ L$ is pseudoeffective. Is there an effective $\mathbb{Q}$-divisor $M$ on $X$ such that $K_X + Δ+ L$ is numerically equivalent to $M$? We are not aware of any counterexamples, but the answer is not completely clear even in the case of surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09441 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A question about generalized nonvanishing Fontanari, Claudio Algebraic Geometry Let $(X,Δ)$ be a projective, $\mathbb{Q}$-factorial log canonical pair and let $L$ be a pseudoeffective $\mathbb{Q}$-divisor on $X$ such that $K_X + Δ+ L$ is pseudoeffective. Is there an effective $\mathbb{Q}$-divisor $M$ on $X$ such that $K_X + Δ+ L$ is numerically equivalent to $M$? We are not aware of any counterexamples, but the answer is not completely clear even in the case of surfaces. |
| title | A question about generalized nonvanishing |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.09441 |