2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150275Let X be a compact Moishezon manifold which becomes projective after blowing up a smooth subvariety $Y \subset X$. We assume also that there exists a proper map $ρ:X \to X'$ onto a projective variety X' with $ρ(Y)$ a point, such that $Pic(X/X') = \Z$ and $K_X$ is $ρ$-big. We prove some inequalities between the dimensions of Y and X and we construct examples which shows the optimality of the inequalities. Then we discuss some differential geometry properties of these examples which lead to a conjecture.Plain-Tex, 10 pagesAlgebraic Geometry14J40, 32J18, 53C55, 14E30text