Varieties fibred over abelian varieties with fibres of log general type

摘要

Let (X, B) be a complex projective kit pair, and let f: X -> Z be a surjective morphism onto a normal projective variety with maximal albanese dimension such that K-X + B is relatively big over Z. We show that such pairs have good log minimal models. (C) 2014 Elsevier Inc. All rights reserved.