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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.07828 |
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| _version_ | 1866913498535034880 |
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| author | Jiang, Chen Yu, Puyang |
| author_facet | Jiang, Chen Yu, Puyang |
| contents | We show Kawamata's effective nonvanishing conjecture (also known as the Ambro--Kawamata nonvanishing conjecture) holds for quasismooth weighted complete intersections of codimension $2$. Namely, for a quasismooth weighted complete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$ on $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07828 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective nonvanishing for weighted complete intersections of codimension two Jiang, Chen Yu, Puyang Algebraic Geometry We show Kawamata's effective nonvanishing conjecture (also known as the Ambro--Kawamata nonvanishing conjecture) holds for quasismooth weighted complete intersections of codimension $2$. Namely, for a quasismooth weighted complete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$ on $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty. |
| title | Effective nonvanishing for weighted complete intersections of codimension two |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.07828 |