English

On the $\partial\overline{\partial}$-Lemma and Bott-Chern cohomology

Differential Geometry 2014-02-11 v1 Complex Variables

Abstract

On a compact complex manifold XX, we prove a Fr\"olicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if XX satisfies the \partial\overline{\partial}-Lemma.

Keywords

Cite

@article{arxiv.1402.1954,
  title  = {On the $\partial\overline{\partial}$-Lemma and Bott-Chern cohomology},
  author = {Daniele Angella and Adriano Tomassini},
  journal= {arXiv preprint arXiv:1402.1954},
  year   = {2014}
}