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Generalized Bergmann Metrics and Invariance of Plurigenera

1996/04/29 by Hajime Tsuji, Tsuji, Hajime
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/9604228

openalex publication_date 1996/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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