Canonical singular hermitian metrics on relative logcanonical bundles

Abstract

This supersedes 0704.0566. We prove the invariance of logarithmic plurigenera for a projective family of KLT pairs and the adjoint line bundle of KLT line bundles. The proof uses the canonical singular hermitian metrics on relative logcanonical bundles.

arXiv comment49pages, no figure, expanded version (add references and improved results)

References in corpus (9)

• Invariance of Plurigenera
• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Existence of minimal models for varieties of log general type
• Curvature of vector bundles associated to holomorphic fibrations
• Curvature semipositivity of relative pluricanonical systems
• Extension of sections via adjoint ideals
• Ricci iterations and canonical Kähler-Einstein currents on log canonical pairs
• Canonical volume forms on compact Kähler manifolds
• Dynamical construction of Kähler-Einstein metrics

Cited by in corpus (3)

• Regularity of plurisubharmonic upper envelopes in big cohomology classes
• Canonical measures and the dynamical systems of Bergman kernels
• Ricci iterations and canonical Kähler-Einstein currents on log canonical pairs