On quasi-Albanese maps

2024/02/07 by Fujino, Osamu · 2 citations
#14K99 #14L40 #32M05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14E05 #Secondary 14E30

paper · doi:10.48550/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.

Cited by

• On quasi-Albanese morphisms for log canonical Calabi-Yau pairs
• Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover

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