论文标题
一般类型的光滑家族的各向同性
Isotriviality of smooth families of varieties of general type
论文作者
论文摘要
在本文中,我们证明了一个日志通用类型KLT对的日志平滑家族,具有特殊的(从Campana的意义上)准标准基础是各向同性的。结果,我们证明了普通的kebekus-kovács猜想\ cite [coindure 1.1] {ww19},用于一般类型品种的光滑家族以及对数一般类型的对数规范对的对数的光滑家族,假设存在相对良好的最小模型。
In this paper, we proved that a log smooth family of log general type klt pairs with a special (in the sense of Campana) quasi-projective base is isotrivial. As a consequence, we proved the generalized Kebekus-Kovács conjecture \cite[Conjecture 1.1]{WW19}, for smooth families of general type varieties as well as log smooth families of log canonical pairs of log general type, assuming the existence of relative good minimal models.