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On the Kodaira dimension of base spaces of families of manifolds

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.

preprint2021arXivOpen access
Behrouz Taji
math.AG
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Behrouz Taji

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