A footnote to a theorem of Kawamata

Margarida Mendes Lopes, Rita Pardini and Sofia Tirabassi

Mathematische Nachrichten, 2023, vol. 296, issue 10, 4739-4744

Abstract: 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.

Date: 2023
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