2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60235The versal deformation space of a smooth rational curve in a smooth complex threefold is explicitly computed under certain hypotheses. Under an additional hypothesis, the versal deformation space is then shown to be the variety of critical points of a holomorphic function, the superpotential, as predicted by the consideration of D-branes in string theory.11 pages, LaTeXAlgebraic GeometryHigh Energy Physics - Theory32G10, 81T60text