2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127462Let $X$ be a compact complex manifold, consider a small deformation $ϕ: \mathcal{X} \to B$ of $X$, the dimensions of the cohomology groups of tangent sheaf $H^q(X_t,\mathcal{T}_{X_t})$ may vary under this deformation. This paper will study such phenomenons by studying the obstructions to deform a class in $H^q(X,\mathcal{T}_X)$ with the parameter $t$ and get the formula for the obstructions.Algebraic GeometryDifferential Geometrytext