Fundamental properties of basic slc-trivial fibrations, II

Fuente: arXiv
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Autori principali: Fujino, Osamu, Fujisawa, Taro, Liu, Haidong
Natura: Preprint
Pubblicazione: 2018
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author Fujino, Osamu
Fujisawa, Taro
Liu, Haidong
author_facet Fujino, Osamu
Fujisawa, Taro
Liu, Haidong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1808_10604
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Fundamental properties of basic slc-trivial fibrations, II
Fujino, Osamu
Fujisawa, Taro
Liu, Haidong
Algebraic Geometry
Primary 14N30, Secondary 14D07, 32G20, 14E30
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.
title Fundamental properties of basic slc-trivial fibrations, II
topic Algebraic Geometry
Primary 14N30, Secondary 14D07, 32G20, 14E30
url https://arxiv.org/abs/1808.10604