English

Plurisubharmonic functions and nef classes on complex manifolds

Differential Geometry 2012-07-19 v2 Complex Variables

Abstract

We prove the existence of plurisubharmonic functions with prescribed logarithmic singularities on complex 3-folds equipped with a nef class of positive volume. We prove the same result for rational classes on Moishezon n-folds.

Keywords

Cite

@article{arxiv.1102.1676,
  title  = {Plurisubharmonic functions and nef classes on complex manifolds},
  author = {Valentino Tosatti and Ben Weinkove},
  journal= {arXiv preprint arXiv:1102.1676},
  year   = {2012}
}

Comments

9 pages; main result improved

R2 v1 2026-06-21T17:23:27.466Z