We prove that the variation in a smooth projective family of varieties admitting a good minimal model forms a lower bound for the Kodaira dimension of the base, if the dimension of the base is at most five and its Kodaira dimension is non-negative. This gives an affirmative answer to the conjecture of Kebekus and Kovács for base spaces of dimension at most five.

中文翻译：

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关于流形族的基空间的小平维

我们证明，如果底座的尺寸最大为5，​​且其Kodaira尺寸为非负值，则一个光滑的投射族的变异如果接受一个良好的最小模型，就会形成该底座的Kodaira尺寸的下界。这对Kebekus和Kovács的猜想对维数最多为5的基本空间给出了肯定的答案。