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- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Unione Matematica Italiana 2024
- ISSN
- 1972-6724
- eISSN
- 2198-2759
- DOI
- 10.1007/s40574-024-00448-1
- Publisher site
- See Article on Publisher Site
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.
Journal
Bollettino dell Unione Matematica Italiana – Springer Journals
Published: Dec 2, 2024
Keywords: Quasi-Albanese maps; Quasi-abelian varieties; Logarithmic Kodaira dimension; Mixed Hodge structures; Commutative complex Lie groups; Weak positivity; Primary 14E05; Secondary 14E30; 14L40; 32M05; 14K99