On minimal 3-folds with $K^3\geq 86$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915533691027456 |
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| author | Chen, Meng Ding, Sicheng |
| author_facet | Chen, Meng Ding, Sicheng |
| contents | We prove that the $5$-canonical map of every minimal projective $3$-fold $X$ with $K_X^3\geq 86$ is stably birational onto its image, which loosens previous requirements $K_X^3>4355^3$ and $K_X^3>12^3$ respectively given by Todorov and Chen. The essential technical ingredient of this paper is an efficient utilization of a moving divisor which grows from global $2$-forms by virtue of Chen-Jiang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On minimal 3-folds with $K^3\geq 86$ Chen, Meng Ding, Sicheng Algebraic Geometry 14D06, 14E05, 14J30 We prove that the $5$-canonical map of every minimal projective $3$-fold $X$ with $K_X^3\geq 86$ is stably birational onto its image, which loosens previous requirements $K_X^3>4355^3$ and $K_X^3>12^3$ respectively given by Todorov and Chen. The essential technical ingredient of this paper is an efficient utilization of a moving divisor which grows from global $2$-forms by virtue of Chen-Jiang. |
| title | On minimal 3-folds with $K^3\geq 86$ |
| topic | Algebraic Geometry 14D06, 14E05, 14J30 |
| url | https://arxiv.org/abs/2510.04029 |