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arXiv · 1809.05616

On the Kodaira dimension of base spaces of families of manifolds

Behrouz Taji
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Abstract

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 Kovacs for base spaces of dimension at most five.

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Behrouz Taji. 2018-09-15. On the Kodaira dimension of base spaces of families of manifolds. https://arxiv.org/abs/1809.05616

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