Global generation of the direct images of relative pluricanonical systems

Abstract

We prove global generation of the direct images of relative pluricanonical systems of sufficiently large and divisible multiples over the complement of the discriminant locus.

arXiv comment46

References in corpus (4)

• Existence of minimal models for varieties of log general type
• Extension of log pluricanonical forms from subvarieties
• Ricci iterations and canonical Kähler-Einstein currents on log canonical pairs
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains

Cited by in corpus (3)

• Relative adjoint transcendental classes and Albanese maps of compact Kaehler manifolds with nef Ricci curvature
• Kodaira dimension of algebraic fiber spaces over abelian varieties
• Subharmonicity of direct images and applications