Remarks on algebraic fiber spaces

Mathematics – Algebraic Geometry

Scientific paper

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17 pages

Scientific paper

In this paper, we collect basic properties of the Albanese dimension and
explain how to generalize the main theorem of [F2](math.AG/0204262). 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.

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