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arXiv · 1311.7396

Varieties fibred over abelian varieties with fibres of log general type

Caucher Birkar·Jungkai Alfred Chen
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Abstract

Let $(X,B)$ be a complex projective klt pair, and let $f\colon X\to Z$ be a surjective morphism onto a normal projective variety with maximal albanese dimension such that $K_X+B$ is relatively big over $Z$. We show that such pairs have good log minimal models.

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Caucher Birkar, Jungkai Alfred Chen. 2013-11-28. Varieties fibred over abelian varieties with fibres of log general type. https://arxiv.org/abs/1311.7396

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