On bicanonical maps of threefolds of general type with large volumes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917508280221696 |
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| author | Jiang, Chen Liu, Ziqi |
| author_facet | Jiang, Chen Liu, Ziqi |
| contents | We prove that for any smooth projective $3$-fold of general type with canonical volume greater than $12^6$, the image of its bicanonical map has dimension at least $2$. We also study pluricanonical maps of $3$-folds of general type with large canonical volume and fibered by $(1,2)$-surfaces or $(2,3)$-surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On bicanonical maps of threefolds of general type with large volumes Jiang, Chen Liu, Ziqi Algebraic Geometry We prove that for any smooth projective $3$-fold of general type with canonical volume greater than $12^6$, the image of its bicanonical map has dimension at least $2$. We also study pluricanonical maps of $3$-folds of general type with large canonical volume and fibered by $(1,2)$-surfaces or $(2,3)$-surfaces. |
| title | On bicanonical maps of threefolds of general type with large volumes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.18638 |