The jumping phenomenon of the dimensions of Bott-Chern cohomology groups and Aeppli cohomology groups

Jiezhu Lin, Xuanming Ye

Let $X$ be a compact complex manifold, and let $\pi :\mathcal{X}\to B$ be a small deformation of $X$, the dimensions of the Bott-Chern cohomology groups $H_{\rm BC}^{p,q}(X(…