English

On locally conformally K\"ahler threefolds with algebraic dimension two

Differential Geometry 2023-03-21 v4 Complex Variables

Abstract

The paper is part of an attempt of understanding non-K\"ahler threefolds. We start by looking at compact complex non-K\"ahler threefolds with algebraic dimension two and admitting locally conformally K\"ahler metrics. Under certain assumptions, we prove that they are blown-up quasi-bundles over a projective surface.

Keywords

Cite

@article{arxiv.2005.09565,
  title  = {On locally conformally K\"ahler threefolds with algebraic dimension two},
  author = {Daniele Angella and Maurizio Parton and Victor Vuletescu},
  journal= {arXiv preprint arXiv:2005.09565},
  year   = {2023}
}