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arXiv · 2003.14379

Log abundance of the moduli b-divisors of lc-trivial fibrations

Zhengyu Hu
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Abstract

We prove that the moduli b-divisor of an lc-trivial fibration from a log canonical pair is log abundant. The result follows from a theorem on the restriction of the moduli b-divisor, based on a theory of lc-trivial morphisms, which allows us to treat $\mathbb{R}$-divisors and proper morphisms possibly with disconnected fibres. We also prove a theorem on extending a finite cover over a closed subvariety to that over a variety in arbitrary characteristic.

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Zhengyu Hu. 2020-03-31. Log abundance of the moduli b-divisors of lc-trivial fibrations. https://arxiv.org/abs/2003.14379

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