On quasi-Albanese maps

Osamu Fujino

On quasi-Albanese maps

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arxiv 2402.04595 v2 pith:OOMGQPOL submitted 2024-02-07 math.AG

Osamu Fujino This is my paper

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keywords mapsquasi-albanesetheoryiitakavarietiesalgebraicapplicationdeligne

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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.

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