2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127408Let $X$ be a compact complex manifold, consider a small deformation $ϕ: \mathcal{X} \to B$ of $X$, the dimension of the Dolbeault cohomology groups $H^q(X_t,Ω_{X_t}^p)$ may vary under this defromation. This paper will study such phenomenons by studying the obstructions to deform a class in $H^q(X,Ω_X^p)$ with the parameter $t$ and get the formula for the obstructions.Algebraic GeometryDifferential Geometrytext