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arXiv · 1210.5052

On the moduli b-divisors of lc-trivial fibrations

Osamu Fujino·Yoshinori Gongyo
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Abstract

Roughly speaking, by using the semi-stable minimal model program, we prove that the moduli part of an lc-trivial fibration coincides with that of a klt-trivial fibration induced by adjunction after taking a suitable generically finite cover. As an application, we obtain that the moduli part of an lc-trivial fibration is b-nef and abundant by Ambro's result on klt-trivial fibrations.

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Osamu Fujino, Yoshinori Gongyo. 2014-04-09. On the moduli b-divisors of lc-trivial fibrations. https://arxiv.org/abs/1210.5052

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