Generalized Bergmann Metrics and Invariance of Plurigenera

Details Generalized Bergmann Metrics and Invariance of Plurigenera Generalized Bergmann Metrics and Invariance of Plurigenera

1996-04-29

arxiv.org/abs/math/9604228v1

Mathematics

Complex Variables

Scientific paper

An invariant kernel for the pluricanonical system of a projective manifold
of general type is introduced. Using this kernel we prove that the Yau volume
form on a smooth projective variety has seminegative Ricci curvature. As a
biproduct we prove the invariance of plurigenera for smooth projective
deformations of manifolds of general type.

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