Direct images of relative pluricanonical bundles
arXiv:1409.7437
Abstract
We discuss the local freeness and the numerical semipositivity of direct images of relative pluricanonical bundles for surjective morphisms between smooth projective varieties with connected fibers. We give a desirable semipositivity theorem under the assumption that the geometric generic fiber has a good minimal model.
17 pages, v2: minor revisions, v3: title changed, revision following referee's comments