A note on lc-trivial fibrations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917604670570496 |
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| author | Hashizume, Kenta |
| author_facet | Hashizume, Kenta |
| contents | For every lc-trivial fibration $(X,Δ) \to Z$ from an lc pair, we prove that after a base change, there exists a positive integer $n$, depending only on the dimension of $X$, the Cartier index of $K_{X}+Δ$, and the sufficiently general fibers of $X \to Z$, such that $n(K_{X}+Δ)$ is linearly equivalent to the pullback of a Cartier divisor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_03921 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on lc-trivial fibrations Hashizume, Kenta Algebraic Geometry primary: 14E30, secondary: 14D06, 14J40 For every lc-trivial fibration $(X,Δ) \to Z$ from an lc pair, we prove that after a base change, there exists a positive integer $n$, depending only on the dimension of $X$, the Cartier index of $K_{X}+Δ$, and the sufficiently general fibers of $X \to Z$, such that $n(K_{X}+Δ)$ is linearly equivalent to the pullback of a Cartier divisor. |
| title | A note on lc-trivial fibrations |
| topic | Algebraic Geometry primary: 14E30, secondary: 14D06, 14J40 |
| url | https://arxiv.org/abs/2206.03921 |