On quasi-Albanese maps
arXiv:2402.04595
Abstract
We discuss Iitaka's theory of quasi-Albanese maps in details. We also give a detailed proof of Kawamata's theorem on the quasi-Albanese maps for varieties of the logarithmic Kodaira dimension zero. Note that Iitaka's theory is an application of Deligne's mixed Hodge theory for smooth algebraic varieties.
50 pages, this is a slightly expanded and revised version of my preprint circulated as Kyoto Math 2015-03, v2: very minor modifications