On the Kodaira dimension of base spaces of families of manifolds

[摘要] 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 Kov & aacute;cs for base spaces of dimension at most five. (c) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-11-01

[关键词] Families of manifolds;Minimal models;Kodaira dimension;Variation of Hodge structures;Moduli of polarized varieties