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arXiv · 1506.07513

A fibered power theorem for pairs of log general type

Kenneth Ascher·Amos Turchet
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Abstract

Let $f: (X,D) \to B$ be a stably family with log canonical general fiber. We prove that, after a birational modification of the base $\tilde{B} \to B$, there is a morphism from a high fibered power of the family to a pair of log general type. If in addition the general fiber is openly canonical, then there is a morphism from a high fibered power of the original family to a pair openly of log general type.

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Kenneth Ascher, Amos Turchet. 2016-08-02. A fibered power theorem for pairs of log general type. https://doi.org/10.2140/ant.2016.10.1581

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