Subharmonicity of direct images and applications

Abstract

In this article we establish new positivity properties for direct images of twisted pluricanonical bundle of an algebraic fiber space. As a corollary we obtain an algebraicity criteria for holomorphic foliations which partly confirms a conjecture of Pereira-Touzet.

minor modifications

References in corpus (1)

• Global generation of the direct images of relative pluricanonical systems

Cited by in corpus (3)

• Bounded sets of sheaves on relative analytic spaces
• The Bogomolov-Beauville-Yau Decomposition for Klt Projective Varieties with Trivial First Chern Class -Without Tears-
• Strictly nef vector bundles and characterizations of ${\mathbb{P}}^n$