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.

49pages, no figure, expanded version (add references and improved results)

References in corpus (4)

• Existence of minimal models for varieties of log general type
• Curvature semipositivity of relative pluricanonical systems
• Canonical volume forms on compact Kähler manifolds
• Dynamical construction of Kähler-Einstein metrics

Cited by in corpus (1)

• Regularity of plurisubharmonic upper envelopes in big cohomology classes