# On non-Kähler degrees of complex manifolds

created by daniele on 14 May 2016
modified on 24 Dec 2017

[BibTeX]

Accepted Paper

Inserted: 14 may 2016
Last Updated: 24 dec 2017

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 $b_1$ even or odd.