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Direct images of relative pluricanonical bundles
Published 25 Sep 2014 in math.AG | (1409.7437v3)
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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