English

On quasi-Albanese maps

Algebraic Geometry 2024-03-22 v2

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.

Cite

@article{arxiv.2402.04595,
  title  = {On quasi-Albanese maps},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:2402.04595},
  year   = {2024}
}

Comments

50 pages, this is a slightly expanded and revised version of my preprint circulated as Kyoto Math 2015-03, v2: very minor modifications

R2 v1 2026-06-28T14:41:06.120Z