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arXiv · 2206.03921

A note on lc-trivial fibrations

Kenta Hashizume
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Abstract

For every lc-trivial fibration $(X,\Delta) \to Z$ 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 $K_{X}+\Delta$, and the sufficiently general fibers of $X \to Z$, such that $n(K_{X}+\Delta)$ is linearly equivalent to the pullback of a Cartier divisor.

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Kenta Hashizume. 2022-06-08. A note on lc-trivial fibrations. https://doi.org/10.1112/blms.12949

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