Fundamental properties of basic slc-trivial fibrations, II

Abstract

We prove that if the moduli $\mathbb{Q}$-b-divisor of a basic slc-trivial fibration is b-numerically trivial then it is $\mathbb{Q}$-b-linearly trivial. As a consequence, we prove that the moduli part of a basic slc-trivial fibration is semi-ample when the base space is a curve.

arXiv comment18 pages, v2: minor revisions following the referee's comments, v3: very minor modifications, v4: very minor modifications

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Cited by in corpus (3)

• On normalization of quasi-log canonical pairs
• On the log canonical ring of projective plt pairs with the Kodaira dimension two
• Remarks on very basic slc-trivial fibrations