English

Subharmonicity of direct images and applications

Complex Variables 2021-08-16 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1906.11317,
  title  = {Subharmonicity of direct images and applications},
  author = {Frédéric Campana and Junyan Cao and Mihai Păun},
  journal= {arXiv preprint arXiv:1906.11317},
  year   = {2021}
}

Comments

minor modifications