An effective version of a theorem of Kawamata on the Albanese map

Mathematics – Algebraic Geometry

Scientific paper

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To appear in Communications in Contemporary Mathematics. This is the final version of the first part of arXiv:0909.3973

Scientific paper

This paper is devoted to study the birational properties of the Albanese map.
I generalize a theorem of Kawamata to tell when the Albanese map is surjective
and when it is an algebraic fiber space.

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