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

Abstract

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.

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

References in corpus (2)

• Singularities of Theta Divisors, and the Birational Geometry of Irregular Varieties
• Varieties with $P_3(X)=4$ and $q(X)=\dim (X)$