On the bicanonical map of algebraic threefolds of general type
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909175970267136 |
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| author | Chen, Meng Jiang, Chen Yan, Jianshi |
| author_facet | Chen, Meng Jiang, Chen Yan, Jianshi |
| contents | We answer an open problem of the first author and Zhang (see Open Problem 6.4 (3) in Math. Z. 258 (2008), 565-585) and prove that, for any nonsingular projective $3$-fold of general type with the geometric genus greater than 201, the bicanonical system is not composed of any pencil of surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19960 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the bicanonical map of algebraic threefolds of general type Chen, Meng Jiang, Chen Yan, Jianshi Algebraic Geometry 14E05, 14J30, 14J29 We answer an open problem of the first author and Zhang (see Open Problem 6.4 (3) in Math. Z. 258 (2008), 565-585) and prove that, for any nonsingular projective $3$-fold of general type with the geometric genus greater than 201, the bicanonical system is not composed of any pencil of surfaces. |
| title | On the bicanonical map of algebraic threefolds of general type |
| topic | Algebraic Geometry 14E05, 14J30, 14J29 |
| url | https://arxiv.org/abs/2305.19960 |