English

On non-K\"ahler degrees of complex manifolds

Differential Geometry 2019-12-23 v3 Complex Variables

Abstract

We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an upper bound for the Bott-Chern cohomology in terms of Betti numbers for compact complex surfaces according to the dichotomy b1b_1 even or odd.

Keywords

Cite

@article{arxiv.1605.03368,
  title  = {On non-K\"ahler degrees of complex manifolds},
  author = {Daniele Angella and Adriano Tomassini and Misha Verbitsky},
  journal= {arXiv preprint arXiv:1605.03368},
  year   = {2019}
}