Remarks on the Kodaira dimension of base spaces of families of manifolds
Remarks on the Kodaira dimension of base spaces of families of manifolds
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DOI：
10.1016/j.jpaa.2021.106729
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发表时间：
2018-09
期刊：
影响因子：
--
通讯作者：
Behrouz Taji
中科院分区：
文献类型：
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作者：
Behrouz Taji
我们证明了，如果一个光滑射影簇具有一个好的极小模型，则当它的基的维度至多为5且它的Kodaira维为非负时，它的变分形成基的Kodaira维的一个下界。这肯定地回答了Kebekus和Kovács关于基本空间至多5维的猜测。
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.