论文标题
kodaira添加性，异性各向同性和特殊性
Kodaira additivity, birational isotriviality and specialness
论文作者
论文摘要
We show, using [14], that a smooth projective fibration f : X $\rightarrow$ Y between connected complex quasi-projective manifolds satisfies the equality $κ$(X) = $κ$(X y) + $κ$(Y) of Logarithmic Kodaira dimensions if its fibres X y admit a good minimal model.没有最后一个假设，这是在[11]中猜想的。 [13]中建立了几种案例，这启发了本文。尽管目前的结果与[13]在投影案例中的结果重叠，但基于Birationally的各向同性纤维，特殊歧管和Y引入和构建的Y核心图的r {per} le {frationallationally hile the [3]的核心图。
We show, using [14], that a smooth projective fibration f : X $\rightarrow$ Y between connected complex quasi-projective manifolds satisfies the equality $κ$(X) = $κ$(X y) + $κ$(Y) of Logarithmic Kodaira dimensions if its fibres X y admit a good minimal model. Without the last assumption, this was conjectured in [11]. Several cases are established in [13], which inspired the present text. Although the present results overlap with those of [13] in the projective case, the approach here is different, based on the r{ô}le played by birationally isotrivial fibrations, special manifolds and the core map of Y introduced and constructed in [3].
