English

Non-Degeneracy of Kobayashi Volume Measures for Singular Directed Varieties

Algebraic Geometry 2016-03-08 v1 Complex Variables

Abstract

In this note, we prove the generic Kobayashi volume measure hyperbolicity of singular directed varieties (X,V)(X, V), as soon as the canonical sheaf K_V\mathcal{K}\_V of VV is big in the sense of Demailly.

Keywords

Cite

@article{arxiv.1603.02227,
  title  = {Non-Degeneracy of Kobayashi Volume Measures for Singular Directed Varieties},
  author = {Ya Deng},
  journal= {arXiv preprint arXiv:1603.02227},
  year   = {2016}
}