For every smooth complex projective variety \(W\) of dimension \(d\) and nonnegative Kodaira dimension, we show the existence of a universal constant \(m\) depending only on \(d\) and two natural invariants of the very general fibres of an Iitaka fibration of \(W\) such that the pluricanonical system \(|mK_{W}|\) defines an Iitaka fibration. This is a consequence of a more general result on polarized adjoint divisors. In order to prove these results we develop a generalized theory of pairs, singularities, log canonical thresholds, adjunction, etc.

中文翻译：

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Iitaka纤维化和极化对的全皮系统的有效性

对于维\（d \）和非负Kodaira维的每个光滑复数投影变量\（W \），我们显示了仅取决于\（d \）和该维的两个自然不变量的普遍常数\（m \）的存在。 \（W \）的Iitaka纤维的非常普通的纤维，以致于古皮系统\（| mK_ {W} | \）定义了Iitaka纤维。这是极化伴随除数更普遍的结果的结果。为了证明这些结果，我们开发了对，奇异性，对数正则阈值，附加等的广义理论。