Dolbeault and Bott-Chern formalities: deformations and $\partial\overline{\partial}$-lemma
Differential Geometry
2022-03-14 v1
Abstract
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we construct a compact complex manifold which satisfies the -lemma but admits a non vanishing Aeppli-Bott-Chern-Massey product.
Keywords
Cite
@article{arxiv.2112.13010,
title = {Dolbeault and Bott-Chern formalities: deformations and $\partial\overline{\partial}$-lemma},
author = {Tommaso Sferruzza and Adriano Tomassini},
journal= {arXiv preprint arXiv:2112.13010},
year = {2022}
}