Generalized Bergmann Metrics and Invariance of Plurigenera

Abstract

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.

Cited by in corpus (2)

• On the evolution of a Hermitian metric by its Chern-Ricci form
• Bounding scalar curvature for global solutions of the Kahler-Ricci flow