A note on lc-trivial fibrations

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.

14 pages. Typos were fixed. To appear in Bull. London Math. Soc

References in corpus (1)

• Iitaka fibrations for dlt pairs polarized by a nef and log big divisor