Abstract
In this paper, we collect basic properties of the Albanese dimension and explain how to generalize the main theorem of [F2]: Algebraic fiber spaces whose general fibers are of maximal Albanese dimension. This paper is a supplement and a generalization of [F2]. We also prove an inequality of irregularities for algebraic fiber spaces in the appendix, which is an exposition of Fujita-Kawamata’s semi-positivity theorem.
Citation
Osamu Fujino. "Remarks on algebraic fiber spaces." J. Math. Kyoto Univ. 45 (4) 683 - 699, 2005. https://doi.org/10.1215/kjm/1250281652
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