2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63869We prove some lower bounds on certain nonegative twists of the canonical bundle of a subvariety of a generic hypersurface in projective space. In particular we prove that the generic sextic threefold contains no rational or elliptic curves and no nondegenerate curves of genus 2.Algebraic Geometry14N99; 14J70On the geometric genus of subvarieties of generic hypersurfacestext