论文标题

kawamata定理的脚注

A footnote to a theorem of Kawamata

论文作者

Lopes, Margarida Mendes, Pardini, Rita, Tirabassi, Sofia

论文摘要

卡瓦玛塔(Kawamata)表明,准标记品种的准阿尔巴纳图映射具有对数的界限,等于尺寸和log-kodaira尺寸0。在本说明中,我们表明,根据Iitaka的猜想,在这些假设下,准阿尔巴尼的地图适当。

Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note we show that under these hypotheses the quasi-Albanese map is proper in codimension 1 as conjectured by Iitaka.

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