Direct images of relative pluricanonical bundles
Algebraic Geometry
2015-04-28 v3
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.
Keywords
Cite
@article{arxiv.1409.7437,
title = {Direct images of relative pluricanonical bundles},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1409.7437},
year = {2015}
}
Comments
17 pages, v2: minor revisions, v3: title changed, revision following referee's comments