2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76911In the present work we classify the relatively minimal 3-dimensional quasihomogeneous complex projective varieties under the assumption that the automorphism group is not solvable. By relatively minimal we understand varieties X having at most Q-factorial terminal singularities and allowing an extremal contraction X to Y, where dim Y <3.Algebraic Geometry14M17 (Primary) 14L30, 32M12 (Secondary)text