2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156182We prove a numerical characterization of $\mathbb{P}^n$ for varieties with at worst isolated local complete intersection quotient singularities. In dimension three, we prove such a numerical characterization of $\mathbb{P}^3$ for normal $\mathbb{Q}$-Gorenstein projective varieties.Revised introduction, stronger result in dimension three presentedAlgebraic Geometrytext