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...

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Bibliographic Details
Published inarXiv.org
Main Author Taji, Behrouz
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.03.2021
Subjects
Lower bounds
Mathematics - Algebraic Geometry
Model forms
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.05616