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arXiv · 1409.7437

Direct images of relative pluricanonical bundles

Osamu Fujino
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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.

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Osamu Fujino. 2014-09-25. Direct images of relative pluricanonical bundles. https://arxiv.org/abs/1409.7437

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